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Finding the Third Proportional to 457,135.50 and 684,047.50

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Solution

The third proportional to 457,135.50 and 684,047.50 is: 1,023,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,135.50 : 684,047.50 = 684,047.50 : x
  2. Step 2: Convert to fraction form
    457,135.50/684,047.50 = 684,047.50/x
  3. Step 3: Cross multiply
    457,135.50x = 684,047.50 × 684,047.50
  4. Step 4: Simplify right side
    457,135.50x = 467,920,982,256.25
  5. Step 5: Solve for x
    x = 467,920,982,256.25/457,135.50
  6. Step 6: Final answer
    x = 1,023,593.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.