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Finding the Third Proportional to 477,441 and 690,463

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Solution

The third proportional to 477,441 and 690,463 is: 998,529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,441 : 690,463 = 690,463 : x
  2. Step 2: Convert to fraction form
    477,441/690,463 = 690,463/x
  3. Step 3: Cross multiply
    477,441x = 690,463 × 690,463
  4. Step 4: Simplify right side
    477,441x = 476,739,154,369
  5. Step 5: Solve for x
    x = 476,739,154,369/477,441
  6. Step 6: Final answer
    x = 998,529.98

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Why These Related Problems?

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