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Finding the Third Proportional to 424,910 and 652,221

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Solution

The third proportional to 424,910 and 652,221 is: 1,001,134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,910 : 652,221 = 652,221 : x
  2. Step 2: Convert to fraction form
    424,910/652,221 = 652,221/x
  3. Step 3: Cross multiply
    424,910x = 652,221 × 652,221
  4. Step 4: Simplify right side
    424,910x = 425,392,232,841
  5. Step 5: Solve for x
    x = 425,392,232,841/424,910
  6. Step 6: Final answer
    x = 1,001,134.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.