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Finding the Third Proportional to 330,000.75 and 495,730.13

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Solution

The third proportional to 330,000.75 and 495,730.13 is: 744,690.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,000.75 : 495,730.13 = 495,730.13 : x
  2. Step 2: Convert to fraction form
    330,000.75/495,730.13 = 495,730.13/x
  3. Step 3: Cross multiply
    330,000.75x = 495,730.13 × 495,730.13
  4. Step 4: Simplify right side
    330,000.75x = 245,748,356,832.52
  5. Step 5: Solve for x
    x = 245,748,356,832.52/330,000.75
  6. Step 6: Final answer
    x = 744,690.30

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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.