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Finding the Third Proportional to 282,279,343 and 587,756,290

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Solution

The third proportional to 282,279,343 and 587,756,290 is: 1,223,814,157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,279,343 : 587,756,290 = 587,756,290 : x
  2. Step 2: Convert to fraction form
    282,279,343/587,756,290 = 587,756,290/x
  3. Step 3: Cross multiply
    282,279,343x = 587,756,290 × 587,756,290
  4. Step 4: Simplify right side
    282,279,343x = 345,457,456,434,564,096
  5. Step 5: Solve for x
    x = 345,457,456,434,564,096/282,279,343
  6. Step 6: Final answer
    x = 1,223,814,157.86

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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.