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Finding the Third Proportional to 425,215 and 652,463.50

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Solution

The third proportional to 425,215 and 652,463.50 is: 1,001,160.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,215 : 652,463.50 = 652,463.50 : x
  2. Step 2: Convert to fraction form
    425,215/652,463.50 = 652,463.50/x
  3. Step 3: Cross multiply
    425,215x = 652,463.50 × 652,463.50
  4. Step 4: Simplify right side
    425,215x = 425,708,618,832.25
  5. Step 5: Solve for x
    x = 425,708,618,832.25/425,215
  6. Step 6: Final answer
    x = 1,001,160.87

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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.