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Finding the Third Proportional to 369,470 and 799,663

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Solution

The third proportional to 369,470 and 799,663 is: 1,730,751.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,470 : 799,663 = 799,663 : x
  2. Step 2: Convert to fraction form
    369,470/799,663 = 799,663/x
  3. Step 3: Cross multiply
    369,470x = 799,663 × 799,663
  4. Step 4: Simplify right side
    369,470x = 639,460,913,569
  5. Step 5: Solve for x
    x = 639,460,913,569/369,470
  6. Step 6: Final answer
    x = 1,730,751.92

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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.