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Finding the Third Proportional to 275,745 and 442,411.50

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Solution

The third proportional to 275,745 and 442,411.50 is: 709,814.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,745 : 442,411.50 = 442,411.50 : x
  2. Step 2: Convert to fraction form
    275,745/442,411.50 = 442,411.50/x
  3. Step 3: Cross multiply
    275,745x = 442,411.50 × 442,411.50
  4. Step 4: Simplify right side
    275,745x = 195,727,935,332.25
  5. Step 5: Solve for x
    x = 195,727,935,332.25/275,745
  6. Step 6: Final answer
    x = 709,814.99

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.