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Finding the Third Proportional to 384,108.75 and 566,291.25

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Solution

The third proportional to 384,108.75 and 566,291.25 is: 834,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,108.75 : 566,291.25 = 566,291.25 : x
  2. Step 2: Convert to fraction form
    384,108.75/566,291.25 = 566,291.25/x
  3. Step 3: Cross multiply
    384,108.75x = 566,291.25 × 566,291.25
  4. Step 4: Simplify right side
    384,108.75x = 320,685,779,826.56
  5. Step 5: Solve for x
    x = 320,685,779,826.56/384,108.75
  6. Step 6: Final answer
    x = 834,882.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.