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Finding the Third Proportional to 391,690,299.75 and 592,573,110.13

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Solution

The third proportional to 391,690,299.75 and 592,573,110.13 is: 896,480,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,690,299.75 : 592,573,110.13 = 592,573,110.13 : x
  2. Step 2: Convert to fraction form
    391,690,299.75/592,573,110.13 = 592,573,110.13/x
  3. Step 3: Cross multiply
    391,690,299.75x = 592,573,110.13 × 592,573,110.13
  4. Step 4: Simplify right side
    391,690,299.75x = 351,142,890,843,215,360
  5. Step 5: Solve for x
    x = 351,142,890,843,215,360/391,690,299.75
  6. Step 6: Final answer
    x = 896,480,946.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.