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Finding the Third Proportional to 285,653,144 and 402,262,572.50

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Solution

The third proportional to 285,653,144 and 402,262,572.50 is: 566,474,343.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,653,144 : 402,262,572.50 = 402,262,572.50 : x
  2. Step 2: Convert to fraction form
    285,653,144/402,262,572.50 = 402,262,572.50/x
  3. Step 3: Cross multiply
    285,653,144x = 402,262,572.50 × 402,262,572.50
  4. Step 4: Simplify right side
    285,653,144x = 161,815,177,234,317,760
  5. Step 5: Solve for x
    x = 161,815,177,234,317,760/285,653,144
  6. Step 6: Final answer
    x = 566,474,343.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.