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Finding the Third Proportional to 328,943.53 and 495,845.30

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Solution

The third proportional to 328,943.53 and 495,845.30 is: 747,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,943.53 : 495,845.30 = 495,845.30 : x
  2. Step 2: Convert to fraction form
    328,943.53/495,845.30 = 495,845.30/x
  3. Step 3: Cross multiply
    328,943.53x = 495,845.30 × 495,845.30
  4. Step 4: Simplify right side
    328,943.53x = 245,862,558,433.06
  5. Step 5: Solve for x
    x = 245,862,558,433.06/328,943.53
  6. Step 6: Final answer
    x = 747,430.90

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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.