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Finding the Third Proportional to 296,251 and 637,459

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Solution

The third proportional to 296,251 and 637,459 is: 1,371,654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,251 : 637,459 = 637,459 : x
  2. Step 2: Convert to fraction form
    296,251/637,459 = 637,459/x
  3. Step 3: Cross multiply
    296,251x = 637,459 × 637,459
  4. Step 4: Simplify right side
    296,251x = 406,353,976,681
  5. Step 5: Solve for x
    x = 406,353,976,681/296,251
  6. Step 6: Final answer
    x = 1,371,654.36

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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.