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Finding the Third Proportional to 392,748.75 and 573,783.75

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Solution

The third proportional to 392,748.75 and 573,783.75 is: 838,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,748.75 : 573,783.75 = 573,783.75 : x
  2. Step 2: Convert to fraction form
    392,748.75/573,783.75 = 573,783.75/x
  3. Step 3: Cross multiply
    392,748.75x = 573,783.75 × 573,783.75
  4. Step 4: Simplify right side
    392,748.75x = 329,227,791,764.06
  5. Step 5: Solve for x
    x = 329,227,791,764.06/392,748.75
  6. Step 6: Final answer
    x = 838,265.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.