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Finding the Third Proportional to 315,744 and 676,320

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Solution

The third proportional to 315,744 and 676,320 is: 1,448,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,744 : 676,320 = 676,320 : x
  2. Step 2: Convert to fraction form
    315,744/676,320 = 676,320/x
  3. Step 3: Cross multiply
    315,744x = 676,320 × 676,320
  4. Step 4: Simplify right side
    315,744x = 457,408,742,400
  5. Step 5: Solve for x
    x = 457,408,742,400/315,744
  6. Step 6: Final answer
    x = 1,448,669.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.