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Finding the Third Proportional to 356,691 and 521,910

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Solution

The third proportional to 356,691 and 521,910 is: 763,658.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,691 : 521,910 = 521,910 : x
  2. Step 2: Convert to fraction form
    356,691/521,910 = 521,910/x
  3. Step 3: Cross multiply
    356,691x = 521,910 × 521,910
  4. Step 4: Simplify right side
    356,691x = 272,390,048,100
  5. Step 5: Solve for x
    x = 272,390,048,100/356,691
  6. Step 6: Final answer
    x = 763,658.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.