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Finding the Third Proportional to 228,925.13 and 497,245.50

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Solution

The third proportional to 228,925.13 and 497,245.50 is: 1,080,060.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,925.13 : 497,245.50 = 497,245.50 : x
  2. Step 2: Convert to fraction form
    228,925.13/497,245.50 = 497,245.50/x
  3. Step 3: Cross multiply
    228,925.13x = 497,245.50 × 497,245.50
  4. Step 4: Simplify right side
    228,925.13x = 247,253,087,270.25
  5. Step 5: Solve for x
    x = 247,253,087,270.25/228,925.13
  6. Step 6: Final answer
    x = 1,080,060.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.