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Finding the Third Proportional to 392,808,909.38 and 590,853,342.38

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Solution

The third proportional to 392,808,909.38 and 590,853,342.38 is: 888,746,827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,808,909.38 : 590,853,342.38 = 590,853,342.38 : x
  2. Step 2: Convert to fraction form
    392,808,909.38/590,853,342.38 = 590,853,342.38/x
  3. Step 3: Cross multiply
    392,808,909.38x = 590,853,342.38 × 590,853,342.38
  4. Step 4: Simplify right side
    392,808,909.38x = 349,107,672,195,708,992
  5. Step 5: Solve for x
    x = 349,107,672,195,708,992/392,808,909.38
  6. Step 6: Final answer
    x = 888,746,827.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.