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Finding the Third Proportional to 498,302 and 773,048

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Solution

The third proportional to 498,302 and 773,048 is: 1,199,279.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,302 : 773,048 = 773,048 : x
  2. Step 2: Convert to fraction form
    498,302/773,048 = 773,048/x
  3. Step 3: Cross multiply
    498,302x = 773,048 × 773,048
  4. Step 4: Simplify right side
    498,302x = 597,603,210,304
  5. Step 5: Solve for x
    x = 597,603,210,304/498,302
  6. Step 6: Final answer
    x = 1,199,279.17

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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.