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Finding the Third Proportional to 729,279 and 1,153,851.75

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Solution

The third proportional to 729,279 and 1,153,851.75 is: 1,825,602.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,279 : 1,153,851.75 = 1,153,851.75 : x
  2. Step 2: Convert to fraction form
    729,279/1,153,851.75 = 1,153,851.75/x
  3. Step 3: Cross multiply
    729,279x = 1,153,851.75 × 1,153,851.75
  4. Step 4: Simplify right side
    729,279x = 1,331,373,860,978.06
  5. Step 5: Solve for x
    x = 1,331,373,860,978.06/729,279
  6. Step 6: Final answer
    x = 1,825,602.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.