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Finding the Third Proportional to 258,532,337.25 and 386,882,517.38

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Solution

The third proportional to 258,532,337.25 and 386,882,517.38 is: 578,953,038.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,532,337.25 : 386,882,517.38 = 386,882,517.38 : x
  2. Step 2: Convert to fraction form
    258,532,337.25/386,882,517.38 = 386,882,517.38/x
  3. Step 3: Cross multiply
    258,532,337.25x = 386,882,517.38 × 386,882,517.38
  4. Step 4: Simplify right side
    258,532,337.25x = 149,678,082,250,417,184
  5. Step 5: Solve for x
    x = 149,678,082,250,417,184/258,532,337.25
  6. Step 6: Final answer
    x = 578,953,038.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.