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Finding the Third Proportional to 228,196.13 and 486,934.50

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Solution

The third proportional to 228,196.13 and 486,934.50 is: 1,039,041.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,196.13 : 486,934.50 = 486,934.50 : x
  2. Step 2: Convert to fraction form
    228,196.13/486,934.50 = 486,934.50/x
  3. Step 3: Cross multiply
    228,196.13x = 486,934.50 × 486,934.50
  4. Step 4: Simplify right side
    228,196.13x = 237,105,207,290.25
  5. Step 5: Solve for x
    x = 237,105,207,290.25/228,196.13
  6. Step 6: Final answer
    x = 1,039,041.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.