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Finding the Third Proportional to 282,586,506 and 381,679,404

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Solution

The third proportional to 282,586,506 and 381,679,404 is: 515,520,608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,586,506 : 381,679,404 = 381,679,404 : x
  2. Step 2: Convert to fraction form
    282,586,506/381,679,404 = 381,679,404/x
  3. Step 3: Cross multiply
    282,586,506x = 381,679,404 × 381,679,404
  4. Step 4: Simplify right side
    282,586,506x = 145,679,167,437,795,200
  5. Step 5: Solve for x
    x = 145,679,167,437,795,200/282,586,506
  6. Step 6: Final answer
    x = 515,520,608.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.