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Finding the Third Proportional to 475,236 and 691,452

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Solution

The third proportional to 475,236 and 691,452 is: 1,006,038.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,236 : 691,452 = 691,452 : x
  2. Step 2: Convert to fraction form
    475,236/691,452 = 691,452/x
  3. Step 3: Cross multiply
    475,236x = 691,452 × 691,452
  4. Step 4: Simplify right side
    475,236x = 478,105,868,304
  5. Step 5: Solve for x
    x = 478,105,868,304/475,236
  6. Step 6: Final answer
    x = 1,006,038.83

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.