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Finding the Third Proportional to 315,401 and 424,960

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Solution

The third proportional to 315,401 and 424,960 is: 572,575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,401 : 424,960 = 424,960 : x
  2. Step 2: Convert to fraction form
    315,401/424,960 = 424,960/x
  3. Step 3: Cross multiply
    315,401x = 424,960 × 424,960
  4. Step 4: Simplify right side
    315,401x = 180,591,001,600
  5. Step 5: Solve for x
    x = 180,591,001,600/315,401
  6. Step 6: Final answer
    x = 572,575.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.