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Finding the Third Proportional to 314,858 and 679,468

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Solution

The third proportional to 314,858 and 679,468 is: 1,466,301.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,858 : 679,468 = 679,468 : x
  2. Step 2: Convert to fraction form
    314,858/679,468 = 679,468/x
  3. Step 3: Cross multiply
    314,858x = 679,468 × 679,468
  4. Step 4: Simplify right side
    314,858x = 461,676,763,024
  5. Step 5: Solve for x
    x = 461,676,763,024/314,858
  6. Step 6: Final answer
    x = 1,466,301.52

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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.