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Finding the Third Proportional to 392,748.75 and 917,838.75

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Solution

The third proportional to 392,748.75 and 917,838.75 is: 2,144,953.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,748.75 : 917,838.75 = 917,838.75 : x
  2. Step 2: Convert to fraction form
    392,748.75/917,838.75 = 917,838.75/x
  3. Step 3: Cross multiply
    392,748.75x = 917,838.75 × 917,838.75
  4. Step 4: Simplify right side
    392,748.75x = 842,427,971,001.56
  5. Step 5: Solve for x
    x = 842,427,971,001.56/392,748.75
  6. Step 6: Final answer
    x = 2,144,953.92

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.