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Finding the Third Proportional to 282,649.50 and 614,385

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Solution

The third proportional to 282,649.50 and 614,385 is: 1,335,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,649.50 : 614,385 = 614,385 : x
  2. Step 2: Convert to fraction form
    282,649.50/614,385 = 614,385/x
  3. Step 3: Cross multiply
    282,649.50x = 614,385 × 614,385
  4. Step 4: Simplify right side
    282,649.50x = 377,468,928,225
  5. Step 5: Solve for x
    x = 377,468,928,225/282,649.50
  6. Step 6: Final answer
    x = 1,335,466.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.