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Finding the Third Proportional to 392,526.75 and 604,180.13

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Solution

The third proportional to 392,526.75 and 604,180.13 is: 929,958.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,526.75 : 604,180.13 = 604,180.13 : x
  2. Step 2: Convert to fraction form
    392,526.75/604,180.13 = 604,180.13/x
  3. Step 3: Cross multiply
    392,526.75x = 604,180.13 × 604,180.13
  4. Step 4: Simplify right side
    392,526.75x = 365,033,623,445.02
  5. Step 5: Solve for x
    x = 365,033,623,445.02/392,526.75
  6. Step 6: Final answer
    x = 929,958.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.