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Finding the Third Proportional to 313,870 and 773,924

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Solution

The third proportional to 313,870 and 773,924 is: 1,908,300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,870 : 773,924 = 773,924 : x
  2. Step 2: Convert to fraction form
    313,870/773,924 = 773,924/x
  3. Step 3: Cross multiply
    313,870x = 773,924 × 773,924
  4. Step 4: Simplify right side
    313,870x = 598,958,357,776
  5. Step 5: Solve for x
    x = 598,958,357,776/313,870
  6. Step 6: Final answer
    x = 1,908,300.75

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These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.