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Finding the Third Proportional to 258,499 and 378,737

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Solution

The third proportional to 258,499 and 378,737 is: 554,902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,499 : 378,737 = 378,737 : x
  2. Step 2: Convert to fraction form
    258,499/378,737 = 378,737/x
  3. Step 3: Cross multiply
    258,499x = 378,737 × 378,737
  4. Step 4: Simplify right side
    258,499x = 143,441,715,169
  5. Step 5: Solve for x
    x = 143,441,715,169/258,499
  6. Step 6: Final answer
    x = 554,902.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.