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Finding the Third Proportional to 282,279,369 and 587,756,355

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Solution

The third proportional to 282,279,369 and 587,756,355 is: 1,223,814,315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,279,369 : 587,756,355 = 587,756,355 : x
  2. Step 2: Convert to fraction form
    282,279,369/587,756,355 = 587,756,355/x
  3. Step 3: Cross multiply
    282,279,369x = 587,756,355 × 587,756,355
  4. Step 4: Simplify right side
    282,279,369x = 345,457,532,842,886,016
  5. Step 5: Solve for x
    x = 345,457,532,842,886,016/282,279,369
  6. Step 6: Final answer
    x = 1,223,814,315.82

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