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Finding the Third Proportional to 338,800.50 and 495,463.50

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Solution

The third proportional to 338,800.50 and 495,463.50 is: 724,568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,800.50 : 495,463.50 = 495,463.50 : x
  2. Step 2: Convert to fraction form
    338,800.50/495,463.50 = 495,463.50/x
  3. Step 3: Cross multiply
    338,800.50x = 495,463.50 × 495,463.50
  4. Step 4: Simplify right side
    338,800.50x = 245,484,079,832.25
  5. Step 5: Solve for x
    x = 245,484,079,832.25/338,800.50
  6. Step 6: Final answer
    x = 724,568.23

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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.