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Finding the Third Proportional to 238,624.50 and 514,610.50

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Solution

The third proportional to 238,624.50 and 514,610.50 is: 1,109,793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,624.50 : 514,610.50 = 514,610.50 : x
  2. Step 2: Convert to fraction form
    238,624.50/514,610.50 = 514,610.50/x
  3. Step 3: Cross multiply
    238,624.50x = 514,610.50 × 514,610.50
  4. Step 4: Simplify right side
    238,624.50x = 264,823,966,710.25
  5. Step 5: Solve for x
    x = 264,823,966,710.25/238,624.50
  6. Step 6: Final answer
    x = 1,109,793.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.