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Finding the Third Proportional to 221,017.50 and 482,514.75

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Solution

The third proportional to 221,017.50 and 482,514.75 is: 1,053,402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,017.50 : 482,514.75 = 482,514.75 : x
  2. Step 2: Convert to fraction form
    221,017.50/482,514.75 = 482,514.75/x
  3. Step 3: Cross multiply
    221,017.50x = 482,514.75 × 482,514.75
  4. Step 4: Simplify right side
    221,017.50x = 232,820,483,967.56
  5. Step 5: Solve for x
    x = 232,820,483,967.56/221,017.50
  6. Step 6: Final answer
    x = 1,053,402.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.