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Finding the Third Proportional to 341,302 and 744,810

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Solution

The third proportional to 341,302 and 744,810 is: 1,625,369.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,302 : 744,810 = 744,810 : x
  2. Step 2: Convert to fraction form
    341,302/744,810 = 744,810/x
  3. Step 3: Cross multiply
    341,302x = 744,810 × 744,810
  4. Step 4: Simplify right side
    341,302x = 554,741,936,100
  5. Step 5: Solve for x
    x = 554,741,936,100/341,302
  6. Step 6: Final answer
    x = 1,625,369.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.