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Finding the Third Proportional to 361,988 and 772,050

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Solution

The third proportional to 361,988 and 772,050 is: 1,646,632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,988 : 772,050 = 772,050 : x
  2. Step 2: Convert to fraction form
    361,988/772,050 = 772,050/x
  3. Step 3: Cross multiply
    361,988x = 772,050 × 772,050
  4. Step 4: Simplify right side
    361,988x = 596,061,202,500
  5. Step 5: Solve for x
    x = 596,061,202,500/361,988
  6. Step 6: Final answer
    x = 1,646,632.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.