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Finding the Third Proportional to 349,930.13 and 495,568.13

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Solution

The third proportional to 349,930.13 and 495,568.13 is: 701,819.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,930.13 : 495,568.13 = 495,568.13 : x
  2. Step 2: Convert to fraction form
    349,930.13/495,568.13 = 495,568.13/x
  3. Step 3: Cross multiply
    349,930.13x = 495,568.13 × 495,568.13
  4. Step 4: Simplify right side
    349,930.13x = 245,587,766,516.02
  5. Step 5: Solve for x
    x = 245,587,766,516.02/349,930.13
  6. Step 6: Final answer
    x = 701,819.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.