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Finding the Third Proportional to 314,616 and 679,320

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Solution

The third proportional to 314,616 and 679,320 is: 1,466,790.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,616 : 679,320 = 679,320 : x
  2. Step 2: Convert to fraction form
    314,616/679,320 = 679,320/x
  3. Step 3: Cross multiply
    314,616x = 679,320 × 679,320
  4. Step 4: Simplify right side
    314,616x = 461,475,662,400
  5. Step 5: Solve for x
    x = 461,475,662,400/314,616
  6. Step 6: Final answer
    x = 1,466,790.19

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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.