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Finding the Third Proportional to 452,542 and 670,986

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Solution

The third proportional to 452,542 and 670,986 is: 994,873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,542 : 670,986 = 670,986 : x
  2. Step 2: Convert to fraction form
    452,542/670,986 = 670,986/x
  3. Step 3: Cross multiply
    452,542x = 670,986 × 670,986
  4. Step 4: Simplify right side
    452,542x = 450,222,212,196
  5. Step 5: Solve for x
    x = 450,222,212,196/452,542
  6. Step 6: Final answer
    x = 994,873.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.