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Finding the Third Proportional to 209,982.38 and 460,788.75

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Solution

The third proportional to 209,982.38 and 460,788.75 is: 1,011,162.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,982.38 : 460,788.75 = 460,788.75 : x
  2. Step 2: Convert to fraction form
    209,982.38/460,788.75 = 460,788.75/x
  3. Step 3: Cross multiply
    209,982.38x = 460,788.75 × 460,788.75
  4. Step 4: Simplify right side
    209,982.38x = 212,326,272,126.56
  5. Step 5: Solve for x
    x = 212,326,272,126.56/209,982.38
  6. Step 6: Final answer
    x = 1,011,162.35

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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.