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Finding the Third Proportional to 499,748.22 and 730,879.77

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Solution

The third proportional to 499,748.22 and 730,879.77 is: 1,068,908.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,748.22 : 730,879.77 = 730,879.77 : x
  2. Step 2: Convert to fraction form
    499,748.22/730,879.77 = 730,879.77/x
  3. Step 3: Cross multiply
    499,748.22x = 730,879.77 × 730,879.77
  4. Step 4: Simplify right side
    499,748.22x = 534,185,237,510.05
  5. Step 5: Solve for x
    x = 534,185,237,510.05/499,748.22
  6. Step 6: Final answer
    x = 1,068,908.73

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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.