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Finding the Third Proportional to 562,221 and 1,229,296.50

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Solution

The third proportional to 562,221 and 1,229,296.50 is: 2,687,857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,221 : 1,229,296.50 = 1,229,296.50 : x
  2. Step 2: Convert to fraction form
    562,221/1,229,296.50 = 1,229,296.50/x
  3. Step 3: Cross multiply
    562,221x = 1,229,296.50 × 1,229,296.50
  4. Step 4: Simplify right side
    562,221x = 1,511,169,884,912.25
  5. Step 5: Solve for x
    x = 1,511,169,884,912.25/562,221
  6. Step 6: Final answer
    x = 2,687,857.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.