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Finding the Third Proportional to 240,777 and 357,699

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Solution

The third proportional to 240,777 and 357,699 is: 531,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,777 : 357,699 = 357,699 : x
  2. Step 2: Convert to fraction form
    240,777/357,699 = 357,699/x
  3. Step 3: Cross multiply
    240,777x = 357,699 × 357,699
  4. Step 4: Simplify right side
    240,777x = 127,948,574,601
  5. Step 5: Solve for x
    x = 127,948,574,601/240,777
  6. Step 6: Final answer
    x = 531,398.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.