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Finding the Third Proportional to 330,007.50 and 495,740.25

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Solution

The third proportional to 330,007.50 and 495,740.25 is: 744,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,007.50 : 495,740.25 = 495,740.25 : x
  2. Step 2: Convert to fraction form
    330,007.50/495,740.25 = 495,740.25/x
  3. Step 3: Cross multiply
    330,007.50x = 495,740.25 × 495,740.25
  4. Step 4: Simplify right side
    330,007.50x = 245,758,395,470.06
  5. Step 5: Solve for x
    x = 245,758,395,470.06/330,007.50
  6. Step 6: Final answer
    x = 744,705.49

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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.