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Finding the Third Proportional to 338,726.63 and 495,367.88

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Solution

The third proportional to 338,726.63 and 495,367.88 is: 724,446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,726.63 : 495,367.88 = 495,367.88 : x
  2. Step 2: Convert to fraction form
    338,726.63/495,367.88 = 495,367.88/x
  3. Step 3: Cross multiply
    338,726.63x = 495,367.88 × 495,367.88
  4. Step 4: Simplify right side
    338,726.63x = 245,389,331,582.02
  5. Step 5: Solve for x
    x = 245,389,331,582.02/338,726.63
  6. Step 6: Final answer
    x = 724,446.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.