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Finding the Third Proportional to 207,918 and 324,657

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Solution

The third proportional to 207,918 and 324,657 is: 506,941.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,918 : 324,657 = 324,657 : x
  2. Step 2: Convert to fraction form
    207,918/324,657 = 324,657/x
  3. Step 3: Cross multiply
    207,918x = 324,657 × 324,657
  4. Step 4: Simplify right side
    207,918x = 105,402,167,649
  5. Step 5: Solve for x
    x = 105,402,167,649/207,918
  6. Step 6: Final answer
    x = 506,941.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.