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Finding the Third Proportional to 357,442 and 769,801

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Solution

The third proportional to 357,442 and 769,801 is: 1,657,873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,442 : 769,801 = 769,801 : x
  2. Step 2: Convert to fraction form
    357,442/769,801 = 769,801/x
  3. Step 3: Cross multiply
    357,442x = 769,801 × 769,801
  4. Step 4: Simplify right side
    357,442x = 592,593,579,601
  5. Step 5: Solve for x
    x = 592,593,579,601/357,442
  6. Step 6: Final answer
    x = 1,657,873.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.