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Finding the Third Proportional to 228,966.75 and 497,319.75

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Solution

The third proportional to 228,966.75 and 497,319.75 is: 1,080,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,966.75 : 497,319.75 = 497,319.75 : x
  2. Step 2: Convert to fraction form
    228,966.75/497,319.75 = 497,319.75/x
  3. Step 3: Cross multiply
    228,966.75x = 497,319.75 × 497,319.75
  4. Step 4: Simplify right side
    228,966.75x = 247,326,933,740.06
  5. Step 5: Solve for x
    x = 247,326,933,740.06/228,966.75
  6. Step 6: Final answer
    x = 1,080,187.12

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