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Finding the Third Proportional to 570,422.75 and 876,856.88

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Solution

The third proportional to 570,422.75 and 876,856.88 is: 1,347,909.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,422.75 : 876,856.88 = 876,856.88 : x
  2. Step 2: Convert to fraction form
    570,422.75/876,856.88 = 876,856.88/x
  3. Step 3: Cross multiply
    570,422.75x = 876,856.88 × 876,856.88
  4. Step 4: Simplify right side
    570,422.75x = 768,877,979,234.77
  5. Step 5: Solve for x
    x = 768,877,979,234.77/570,422.75
  6. Step 6: Final answer
    x = 1,347,909.04

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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.