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Finding the Third Proportional to 344,312 and 745,798

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Solution

The third proportional to 344,312 and 745,798 is: 1,615,437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,312 : 745,798 = 745,798 : x
  2. Step 2: Convert to fraction form
    344,312/745,798 = 745,798/x
  3. Step 3: Cross multiply
    344,312x = 745,798 × 745,798
  4. Step 4: Simplify right side
    344,312x = 556,214,656,804
  5. Step 5: Solve for x
    x = 556,214,656,804/344,312
  6. Step 6: Final answer
    x = 1,615,437.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.