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Finding the Third Proportional to 485,583 and 761,737.50

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Solution

The third proportional to 485,583 and 761,737.50 is: 1,194,943.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,583 : 761,737.50 = 761,737.50 : x
  2. Step 2: Convert to fraction form
    485,583/761,737.50 = 761,737.50/x
  3. Step 3: Cross multiply
    485,583x = 761,737.50 × 761,737.50
  4. Step 4: Simplify right side
    485,583x = 580,244,018,906.25
  5. Step 5: Solve for x
    x = 580,244,018,906.25/485,583
  6. Step 6: Final answer
    x = 1,194,943.02

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.