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Finding the Third Proportional to 330,063 and 495,823.50

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Solution

The third proportional to 330,063 and 495,823.50 is: 744,830.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,063 : 495,823.50 = 495,823.50 : x
  2. Step 2: Convert to fraction form
    330,063/495,823.50 = 495,823.50/x
  3. Step 3: Cross multiply
    330,063x = 495,823.50 × 495,823.50
  4. Step 4: Simplify right side
    330,063x = 245,840,943,152.25
  5. Step 5: Solve for x
    x = 245,840,943,152.25/330,063
  6. Step 6: Final answer
    x = 744,830.36

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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.