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Finding the Third Proportional to 425,248 and 658,452

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Solution

The third proportional to 425,248 and 658,452 is: 1,019,543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,248 : 658,452 = 658,452 : x
  2. Step 2: Convert to fraction form
    425,248/658,452 = 658,452/x
  3. Step 3: Cross multiply
    425,248x = 658,452 × 658,452
  4. Step 4: Simplify right side
    425,248x = 433,559,036,304
  5. Step 5: Solve for x
    x = 433,559,036,304/425,248
  6. Step 6: Final answer
    x = 1,019,543.98

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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.