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Finding the Third Proportional to 282,279,371 and 587,756,359

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Solution

The third proportional to 282,279,371 and 587,756,359 is: 1,223,814,323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,279,371 : 587,756,359 = 587,756,359 : x
  2. Step 2: Convert to fraction form
    282,279,371/587,756,359 = 587,756,359/x
  3. Step 3: Cross multiply
    282,279,371x = 587,756,359 × 587,756,359
  4. Step 4: Simplify right side
    282,279,371x = 345,457,537,544,936,896
  5. Step 5: Solve for x
    x = 345,457,537,544,936,896/282,279,371
  6. Step 6: Final answer
    x = 1,223,814,323.81

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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.