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Finding the Third Proportional to 457,756 and 957,368

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Solution

The third proportional to 457,756 and 957,368 is: 2,002,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,756 : 957,368 = 957,368 : x
  2. Step 2: Convert to fraction form
    457,756/957,368 = 957,368/x
  3. Step 3: Cross multiply
    457,756x = 957,368 × 957,368
  4. Step 4: Simplify right side
    457,756x = 916,553,487,424
  5. Step 5: Solve for x
    x = 916,553,487,424/457,756
  6. Step 6: Final answer
    x = 2,002,275.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.