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Finding the Third Proportional to 307,499 and 675,535

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Solution

The third proportional to 307,499 and 675,535 is: 1,484,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,499 : 675,535 = 675,535 : x
  2. Step 2: Convert to fraction form
    307,499/675,535 = 675,535/x
  3. Step 3: Cross multiply
    307,499x = 675,535 × 675,535
  4. Step 4: Simplify right side
    307,499x = 456,347,536,225
  5. Step 5: Solve for x
    x = 456,347,536,225/307,499
  6. Step 6: Final answer
    x = 1,484,061.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.