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Finding the Third Proportional to 391,690,299 and 592,573,109

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Solution

The third proportional to 391,690,299 and 592,573,109 is: 896,480,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,690,299 : 592,573,109 = 592,573,109 : x
  2. Step 2: Convert to fraction form
    391,690,299/592,573,109 = 592,573,109/x
  3. Step 3: Cross multiply
    391,690,299x = 592,573,109 × 592,573,109
  4. Step 4: Simplify right side
    391,690,299x = 351,142,889,509,925,888
  5. Step 5: Solve for x
    x = 351,142,889,509,925,888/391,690,299
  6. Step 6: Final answer
    x = 896,480,945.29

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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.