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Finding the Third Proportional to 228,934.50 and 497,280

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Solution

The third proportional to 228,934.50 and 497,280 is: 1,080,166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,934.50 : 497,280 = 497,280 : x
  2. Step 2: Convert to fraction form
    228,934.50/497,280 = 497,280/x
  3. Step 3: Cross multiply
    228,934.50x = 497,280 × 497,280
  4. Step 4: Simplify right side
    228,934.50x = 247,287,398,400
  5. Step 5: Solve for x
    x = 247,287,398,400/228,934.50
  6. Step 6: Final answer
    x = 1,080,166.59

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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.