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Finding the Third Proportional to 344,724 and 744,792

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Solution

The third proportional to 344,724 and 744,792 is: 1,609,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,724 : 744,792 = 744,792 : x
  2. Step 2: Convert to fraction form
    344,724/744,792 = 744,792/x
  3. Step 3: Cross multiply
    344,724x = 744,792 × 744,792
  4. Step 4: Simplify right side
    344,724x = 554,715,123,264
  5. Step 5: Solve for x
    x = 554,715,123,264/344,724
  6. Step 6: Final answer
    x = 1,609,157.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.