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Finding the Third Proportional to 384,259.50 and 617,387.25

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Solution

The third proportional to 384,259.50 and 617,387.25 is: 991,952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,259.50 : 617,387.25 = 617,387.25 : x
  2. Step 2: Convert to fraction form
    384,259.50/617,387.25 = 617,387.25/x
  3. Step 3: Cross multiply
    384,259.50x = 617,387.25 × 617,387.25
  4. Step 4: Simplify right side
    384,259.50x = 381,167,016,462.56
  5. Step 5: Solve for x
    x = 381,167,016,462.56/384,259.50
  6. Step 6: Final answer
    x = 991,952.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.