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Finding the Third Proportional to 282,586,526.50 and 381,679,434

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Solution

The third proportional to 282,586,526.50 and 381,679,434 is: 515,520,651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,586,526.50 : 381,679,434 = 381,679,434 : x
  2. Step 2: Convert to fraction form
    282,586,526.50/381,679,434 = 381,679,434/x
  3. Step 3: Cross multiply
    282,586,526.50x = 381,679,434 × 381,679,434
  4. Step 4: Simplify right side
    282,586,526.50x = 145,679,190,338,560,352
  5. Step 5: Solve for x
    x = 145,679,190,338,560,352/282,586,526.50
  6. Step 6: Final answer
    x = 515,520,651.83

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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.