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Finding the Third Proportional to 498,273 and 1,169,775

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Solution

The third proportional to 498,273 and 1,169,775 is: 2,746,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,273 : 1,169,775 = 1,169,775 : x
  2. Step 2: Convert to fraction form
    498,273/1,169,775 = 1,169,775/x
  3. Step 3: Cross multiply
    498,273x = 1,169,775 × 1,169,775
  4. Step 4: Simplify right side
    498,273x = 1,368,373,550,625
  5. Step 5: Solve for x
    x = 1,368,373,550,625/498,273
  6. Step 6: Final answer
    x = 2,746,232.59

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.