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Finding the Third Proportional to 209,123.13 and 448,585.13

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Solution

The third proportional to 209,123.13 and 448,585.13 is: 962,249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,123.13 : 448,585.13 = 448,585.13 : x
  2. Step 2: Convert to fraction form
    209,123.13/448,585.13 = 448,585.13/x
  3. Step 3: Cross multiply
    209,123.13x = 448,585.13 × 448,585.13
  4. Step 4: Simplify right side
    209,123.13x = 201,228,614,371.27
  5. Step 5: Solve for x
    x = 201,228,614,371.27/209,123.13
  6. Step 6: Final answer
    x = 962,249.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.