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Finding the Third Proportional to 282,279,341.25 and 587,756,286

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Solution

The third proportional to 282,279,341.25 and 587,756,286 is: 1,223,814,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,279,341.25 : 587,756,286 = 587,756,286 : x
  2. Step 2: Convert to fraction form
    282,279,341.25/587,756,286 = 587,756,286/x
  3. Step 3: Cross multiply
    282,279,341.25x = 587,756,286 × 587,756,286
  4. Step 4: Simplify right side
    282,279,341.25x = 345,457,451,732,513,792
  5. Step 5: Solve for x
    x = 345,457,451,732,513,792/282,279,341.25
  6. Step 6: Final answer
    x = 1,223,814,148.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.