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Finding the Third Proportional to 599,632.50 and 911,727

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Solution

The third proportional to 599,632.50 and 911,727 is: 1,386,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,632.50 : 911,727 = 911,727 : x
  2. Step 2: Convert to fraction form
    599,632.50/911,727 = 911,727/x
  3. Step 3: Cross multiply
    599,632.50x = 911,727 × 911,727
  4. Step 4: Simplify right side
    599,632.50x = 831,246,122,529
  5. Step 5: Solve for x
    x = 831,246,122,529/599,632.50
  6. Step 6: Final answer
    x = 1,386,259.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.