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Finding the Third Proportional to 368,921 and 564,087

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Solution

The third proportional to 368,921 and 564,087 is: 862,499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,921 : 564,087 = 564,087 : x
  2. Step 2: Convert to fraction form
    368,921/564,087 = 564,087/x
  3. Step 3: Cross multiply
    368,921x = 564,087 × 564,087
  4. Step 4: Simplify right side
    368,921x = 318,194,143,569
  5. Step 5: Solve for x
    x = 318,194,143,569/368,921
  6. Step 6: Final answer
    x = 862,499.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.