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Finding the Third Proportional to 324,952 and 712,680

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Solution

The third proportional to 324,952 and 712,680 is: 1,563,039.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,952 : 712,680 = 712,680 : x
  2. Step 2: Convert to fraction form
    324,952/712,680 = 712,680/x
  3. Step 3: Cross multiply
    324,952x = 712,680 × 712,680
  4. Step 4: Simplify right side
    324,952x = 507,912,782,400
  5. Step 5: Solve for x
    x = 507,912,782,400/324,952
  6. Step 6: Final answer
    x = 1,563,039.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.