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Finding the Third Proportional to 367,104 and 564,672

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Solution

The third proportional to 367,104 and 564,672 is: 868,567.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,104 : 564,672 = 564,672 : x
  2. Step 2: Convert to fraction form
    367,104/564,672 = 564,672/x
  3. Step 3: Cross multiply
    367,104x = 564,672 × 564,672
  4. Step 4: Simplify right side
    367,104x = 318,854,467,584
  5. Step 5: Solve for x
    x = 318,854,467,584/367,104
  6. Step 6: Final answer
    x = 868,567.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.