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Finding the Third Proportional to 207,978 and 313,827

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Solution

The third proportional to 207,978 and 313,827 is: 473,547.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,978 : 313,827 = 313,827 : x
  2. Step 2: Convert to fraction form
    207,978/313,827 = 313,827/x
  3. Step 3: Cross multiply
    207,978x = 313,827 × 313,827
  4. Step 4: Simplify right side
    207,978x = 98,487,385,929
  5. Step 5: Solve for x
    x = 98,487,385,929/207,978
  6. Step 6: Final answer
    x = 473,547.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.