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Finding the Third Proportional to 338,782.50 and 495,439.88

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Solution

The third proportional to 338,782.50 and 495,439.88 is: 724,537.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,782.50 : 495,439.88 = 495,439.88 : x
  2. Step 2: Convert to fraction form
    338,782.50/495,439.88 = 495,439.88/x
  3. Step 3: Cross multiply
    338,782.50x = 495,439.88 × 495,439.88
  4. Step 4: Simplify right side
    338,782.50x = 245,460,669,740.02
  5. Step 5: Solve for x
    x = 245,460,669,740.02/338,782.50
  6. Step 6: Final answer
    x = 724,537.63

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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.