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Finding the Third Proportional to 391,690,768 and 592,573,832

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Solution

The third proportional to 391,690,768 and 592,573,832 is: 896,482,059.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,690,768 : 592,573,832 = 592,573,832 : x
  2. Step 2: Convert to fraction form
    391,690,768/592,573,832 = 592,573,832/x
  3. Step 3: Cross multiply
    391,690,768x = 592,573,832 × 592,573,832
  4. Step 4: Simplify right side
    391,690,768x = 351,143,746,371,164,224
  5. Step 5: Solve for x
    x = 351,143,746,371,164,224/391,690,768
  6. Step 6: Final answer
    x = 896,482,059.47

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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.