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Finding the Third Proportional to 695,725.50 and 992,233.50

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Solution

The third proportional to 695,725.50 and 992,233.50 is: 1,415,108.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,725.50 : 992,233.50 = 992,233.50 : x
  2. Step 2: Convert to fraction form
    695,725.50/992,233.50 = 992,233.50/x
  3. Step 3: Cross multiply
    695,725.50x = 992,233.50 × 992,233.50
  4. Step 4: Simplify right side
    695,725.50x = 984,527,318,522.25
  5. Step 5: Solve for x
    x = 984,527,318,522.25/695,725.50
  6. Step 6: Final answer
    x = 1,415,108.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.