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Finding the Third Proportional to 341,674,352.19 and 731,775,573.53

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Solution

The third proportional to 341,674,352.19 and 731,775,573.53 is: 1,567,268,618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,674,352.19 : 731,775,573.53 = 731,775,573.53 : x
  2. Step 2: Convert to fraction form
    341,674,352.19/731,775,573.53 = 731,775,573.53/x
  3. Step 3: Cross multiply
    341,674,352.19x = 731,775,573.53 × 731,775,573.53
  4. Step 4: Simplify right side
    341,674,352.19x = 535,495,490,011,223,488
  5. Step 5: Solve for x
    x = 535,495,490,011,223,488/341,674,352.19
  6. Step 6: Final answer
    x = 1,567,268,618.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.