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Finding the Third Proportional to 519,913.13 and 695,422.69

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Solution

The third proportional to 519,913.13 and 695,422.69 is: 930,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,913.13 : 695,422.69 = 695,422.69 : x
  2. Step 2: Convert to fraction form
    519,913.13/695,422.69 = 695,422.69/x
  3. Step 3: Cross multiply
    519,913.13x = 695,422.69 × 695,422.69
  4. Step 4: Simplify right side
    519,913.13x = 483,612,714,289.72
  5. Step 5: Solve for x
    x = 483,612,714,289.72/519,913.13
  6. Step 6: Final answer
    x = 930,179.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.