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Finding the Third Proportional to 498,246 and 773,616.75

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Solution

The third proportional to 498,246 and 773,616.75 is: 1,201,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,246 : 773,616.75 = 773,616.75 : x
  2. Step 2: Convert to fraction form
    498,246/773,616.75 = 773,616.75/x
  3. Step 3: Cross multiply
    498,246x = 773,616.75 × 773,616.75
  4. Step 4: Simplify right side
    498,246x = 598,482,875,880.56
  5. Step 5: Solve for x
    x = 598,482,875,880.56/498,246
  6. Step 6: Final answer
    x = 1,201,179.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.