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Finding the Third Proportional to 228,936.38 and 497,282.63

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Solution

The third proportional to 228,936.38 and 497,282.63 is: 1,080,169.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,936.38 : 497,282.63 = 497,282.63 : x
  2. Step 2: Convert to fraction form
    228,936.38/497,282.63 = 497,282.63/x
  3. Step 3: Cross multiply
    228,936.38x = 497,282.63 × 497,282.63
  4. Step 4: Simplify right side
    228,936.38x = 247,290,009,126.89
  5. Step 5: Solve for x
    x = 247,290,009,126.89/228,936.38
  6. Step 6: Final answer
    x = 1,080,169.15

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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.