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Finding the Third Proportional to 328,963.50 and 495,875.25

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Solution

The third proportional to 328,963.50 and 495,875.25 is: 747,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,963.50 : 495,875.25 = 495,875.25 : x
  2. Step 2: Convert to fraction form
    328,963.50/495,875.25 = 495,875.25/x
  3. Step 3: Cross multiply
    328,963.50x = 495,875.25 × 495,875.25
  4. Step 4: Simplify right side
    328,963.50x = 245,892,263,562.56
  5. Step 5: Solve for x
    x = 245,892,263,562.56/328,963.50
  6. Step 6: Final answer
    x = 747,475.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.