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Finding the Third Proportional to 356,853 and 521,877

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Solution

The third proportional to 356,853 and 521,877 is: 763,215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,853 : 521,877 = 521,877 : x
  2. Step 2: Convert to fraction form
    356,853/521,877 = 521,877/x
  3. Step 3: Cross multiply
    356,853x = 521,877 × 521,877
  4. Step 4: Simplify right side
    356,853x = 272,355,603,129
  5. Step 5: Solve for x
    x = 272,355,603,129/356,853
  6. Step 6: Final answer
    x = 763,215.11

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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.