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Finding the Third Proportional to 357,394 and 785,866

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Solution

The third proportional to 357,394 and 785,866 is: 1,728,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,394 : 785,866 = 785,866 : x
  2. Step 2: Convert to fraction form
    357,394/785,866 = 785,866/x
  3. Step 3: Cross multiply
    357,394x = 785,866 × 785,866
  4. Step 4: Simplify right side
    357,394x = 617,585,369,956
  5. Step 5: Solve for x
    x = 617,585,369,956/357,394
  6. Step 6: Final answer
    x = 1,728,023.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.