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Finding the Third Proportional to 384,301.50 and 547,444.13

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Solution

The third proportional to 384,301.50 and 547,444.13 is: 779,843.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,301.50 : 547,444.13 = 547,444.13 : x
  2. Step 2: Convert to fraction form
    384,301.50/547,444.13 = 547,444.13/x
  3. Step 3: Cross multiply
    384,301.50x = 547,444.13 × 547,444.13
  4. Step 4: Simplify right side
    384,301.50x = 299,695,069,997.02
  5. Step 5: Solve for x
    x = 299,695,069,997.02/384,301.50
  6. Step 6: Final answer
    x = 779,843.61

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.