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Finding the Third Proportional to 392,701.50 and 604,496.25

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Solution

The third proportional to 392,701.50 and 604,496.25 is: 930,517.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,701.50 : 604,496.25 = 604,496.25 : x
  2. Step 2: Convert to fraction form
    392,701.50/604,496.25 = 604,496.25/x
  3. Step 3: Cross multiply
    392,701.50x = 604,496.25 × 604,496.25
  4. Step 4: Simplify right side
    392,701.50x = 365,415,716,264.06
  5. Step 5: Solve for x
    x = 365,415,716,264.06/392,701.50
  6. Step 6: Final answer
    x = 930,517.75

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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.