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Finding the Third Proportional to 373,603 and 773,792

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Solution

The third proportional to 373,603 and 773,792 is: 1,602,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,603 : 773,792 = 773,792 : x
  2. Step 2: Convert to fraction form
    373,603/773,792 = 773,792/x
  3. Step 3: Cross multiply
    373,603x = 773,792 × 773,792
  4. Step 4: Simplify right side
    373,603x = 598,754,059,264
  5. Step 5: Solve for x
    x = 598,754,059,264/373,603
  6. Step 6: Final answer
    x = 1,602,647.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.