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Finding the Third Proportional to 475,573.78 and 737,229.09

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Solution

The third proportional to 475,573.78 and 737,229.09 is: 1,142,844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,573.78 : 737,229.09 = 737,229.09 : x
  2. Step 2: Convert to fraction form
    475,573.78/737,229.09 = 737,229.09/x
  3. Step 3: Cross multiply
    475,573.78x = 737,229.09 × 737,229.09
  4. Step 4: Simplify right side
    475,573.78x = 543,506,736,671.45
  5. Step 5: Solve for x
    x = 543,506,736,671.45/475,573.78
  6. Step 6: Final answer
    x = 1,142,844.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.