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Finding the Third Proportional to 488,274 and 731,929

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Solution

The third proportional to 488,274 and 731,929 is: 1,097,170.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,274 : 731,929 = 731,929 : x
  2. Step 2: Convert to fraction form
    488,274/731,929 = 731,929/x
  3. Step 3: Cross multiply
    488,274x = 731,929 × 731,929
  4. Step 4: Simplify right side
    488,274x = 535,720,061,041
  5. Step 5: Solve for x
    x = 535,720,061,041/488,274
  6. Step 6: Final answer
    x = 1,097,170.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.