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Finding the Third Proportional to 425,527 and 658,862

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Solution

The third proportional to 425,527 and 658,862 is: 1,020,144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,527 : 658,862 = 658,862 : x
  2. Step 2: Convert to fraction form
    425,527/658,862 = 658,862/x
  3. Step 3: Cross multiply
    425,527x = 658,862 × 658,862
  4. Step 4: Simplify right side
    425,527x = 434,099,135,044
  5. Step 5: Solve for x
    x = 434,099,135,044/425,527
  6. Step 6: Final answer
    x = 1,020,144.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.