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Finding the Third Proportional to 687,828.75 and 917,350.75

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Solution

The third proportional to 687,828.75 and 917,350.75 is: 1,223,462.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,828.75 : 917,350.75 = 917,350.75 : x
  2. Step 2: Convert to fraction form
    687,828.75/917,350.75 = 917,350.75/x
  3. Step 3: Cross multiply
    687,828.75x = 917,350.75 × 917,350.75
  4. Step 4: Simplify right side
    687,828.75x = 841,532,398,525.56
  5. Step 5: Solve for x
    x = 841,532,398,525.56/687,828.75
  6. Step 6: Final answer
    x = 1,223,462.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.