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Finding the Third Proportional to 488,278 and 731,935

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Solution

The third proportional to 488,278 and 731,935 is: 1,097,179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,278 : 731,935 = 731,935 : x
  2. Step 2: Convert to fraction form
    488,278/731,935 = 731,935/x
  3. Step 3: Cross multiply
    488,278x = 731,935 × 731,935
  4. Step 4: Simplify right side
    488,278x = 535,728,844,225
  5. Step 5: Solve for x
    x = 535,728,844,225/488,278
  6. Step 6: Final answer
    x = 1,097,179.98

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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.