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Finding the Third Proportional to 369,466 and 799,654

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Solution

The third proportional to 369,466 and 799,654 is: 1,730,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,466 : 799,654 = 799,654 : x
  2. Step 2: Convert to fraction form
    369,466/799,654 = 799,654/x
  3. Step 3: Cross multiply
    369,466x = 799,654 × 799,654
  4. Step 4: Simplify right side
    369,466x = 639,446,519,716
  5. Step 5: Solve for x
    x = 639,446,519,716/369,466
  6. Step 6: Final answer
    x = 1,730,731.70

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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.