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Finding the Third Proportional to 499,754.25 and 730,887.75

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Solution

The third proportional to 499,754.25 and 730,887.75 is: 1,068,919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,754.25 : 730,887.75 = 730,887.75 : x
  2. Step 2: Convert to fraction form
    499,754.25/730,887.75 = 730,887.75/x
  3. Step 3: Cross multiply
    499,754.25x = 730,887.75 × 730,887.75
  4. Step 4: Simplify right side
    499,754.25x = 534,196,903,100.06
  5. Step 5: Solve for x
    x = 534,196,903,100.06/499,754.25
  6. Step 6: Final answer
    x = 1,068,919.18

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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.