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Finding the Third Proportional to 547,123.50 and 818,496

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Solution

The third proportional to 547,123.50 and 818,496 is: 1,224,468.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,123.50 : 818,496 = 818,496 : x
  2. Step 2: Convert to fraction form
    547,123.50/818,496 = 818,496/x
  3. Step 3: Cross multiply
    547,123.50x = 818,496 × 818,496
  4. Step 4: Simplify right side
    547,123.50x = 669,935,702,016
  5. Step 5: Solve for x
    x = 669,935,702,016/547,123.50
  6. Step 6: Final answer
    x = 1,224,468.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.