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Finding the Third Proportional to 451,499 and 663,761.50

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Solution

The third proportional to 451,499 and 663,761.50 is: 975,814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,499 : 663,761.50 = 663,761.50 : x
  2. Step 2: Convert to fraction form
    451,499/663,761.50 = 663,761.50/x
  3. Step 3: Cross multiply
    451,499x = 663,761.50 × 663,761.50
  4. Step 4: Simplify right side
    451,499x = 440,579,328,882.25
  5. Step 5: Solve for x
    x = 440,579,328,882.25/451,499
  6. Step 6: Final answer
    x = 975,814.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.