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Finding the Third Proportional to 291,918 and 631,812

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Solution

The third proportional to 291,918 and 631,812 is: 1,367,460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,918 : 631,812 = 631,812 : x
  2. Step 2: Convert to fraction form
    291,918/631,812 = 631,812/x
  3. Step 3: Cross multiply
    291,918x = 631,812 × 631,812
  4. Step 4: Simplify right side
    291,918x = 399,186,403,344
  5. Step 5: Solve for x
    x = 399,186,403,344/291,918
  6. Step 6: Final answer
    x = 1,367,460.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.