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Finding the Third Proportional to 330,050 and 495,804

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Solution

The third proportional to 330,050 and 495,804 is: 744,801.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,050 : 495,804 = 495,804 : x
  2. Step 2: Convert to fraction form
    330,050/495,804 = 495,804/x
  3. Step 3: Cross multiply
    330,050x = 495,804 × 495,804
  4. Step 4: Simplify right side
    330,050x = 245,821,606,416
  5. Step 5: Solve for x
    x = 245,821,606,416/330,050
  6. Step 6: Final answer
    x = 744,801.11

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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.