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Finding the Third Proportional to 330,061.50 and 495,822

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Solution

The third proportional to 330,061.50 and 495,822 is: 744,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,061.50 : 495,822 = 495,822 : x
  2. Step 2: Convert to fraction form
    330,061.50/495,822 = 495,822/x
  3. Step 3: Cross multiply
    330,061.50x = 495,822 × 495,822
  4. Step 4: Simplify right side
    330,061.50x = 245,839,455,684
  5. Step 5: Solve for x
    x = 245,839,455,684/330,061.50
  6. Step 6: Final answer
    x = 744,829.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.