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Finding the Third Proportional to 314,568 and 679,192

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Solution

The third proportional to 314,568 and 679,192 is: 1,466,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,568 : 679,192 = 679,192 : x
  2. Step 2: Convert to fraction form
    314,568/679,192 = 679,192/x
  3. Step 3: Cross multiply
    314,568x = 679,192 × 679,192
  4. Step 4: Simplify right side
    314,568x = 461,301,772,864
  5. Step 5: Solve for x
    x = 461,301,772,864/314,568
  6. Step 6: Final answer
    x = 1,466,461.22

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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.