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Finding the Third Proportional to 314,848 and 679,448

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Solution

The third proportional to 314,848 and 679,448 is: 1,466,261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,848 : 679,448 = 679,448 : x
  2. Step 2: Convert to fraction form
    314,848/679,448 = 679,448/x
  3. Step 3: Cross multiply
    314,848x = 679,448 × 679,448
  4. Step 4: Simplify right side
    314,848x = 461,649,584,704
  5. Step 5: Solve for x
    x = 461,649,584,704/314,848
  6. Step 6: Final answer
    x = 1,466,261.77

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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.