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Finding the Third Proportional to 559,073 and 744,865

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Solution

The third proportional to 559,073 and 744,865 is: 992,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,073 : 744,865 = 744,865 : x
  2. Step 2: Convert to fraction form
    559,073/744,865 = 744,865/x
  3. Step 3: Cross multiply
    559,073x = 744,865 × 744,865
  4. Step 4: Simplify right side
    559,073x = 554,823,868,225
  5. Step 5: Solve for x
    x = 554,823,868,225/559,073
  6. Step 6: Final answer
    x = 992,399.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.