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Finding the Third Proportional to 598,833 and 880,753.50

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Solution

The third proportional to 598,833 and 880,753.50 is: 1,295,397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,833 : 880,753.50 = 880,753.50 : x
  2. Step 2: Convert to fraction form
    598,833/880,753.50 = 880,753.50/x
  3. Step 3: Cross multiply
    598,833x = 880,753.50 × 880,753.50
  4. Step 4: Simplify right side
    598,833x = 775,726,727,762.25
  5. Step 5: Solve for x
    x = 775,726,727,762.25/598,833
  6. Step 6: Final answer
    x = 1,295,397.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.