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Finding the Third Proportional to 214,470 and 315,462

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Solution

The third proportional to 214,470 and 315,462 is: 464,010.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,470 : 315,462 = 315,462 : x
  2. Step 2: Convert to fraction form
    214,470/315,462 = 315,462/x
  3. Step 3: Cross multiply
    214,470x = 315,462 × 315,462
  4. Step 4: Simplify right side
    214,470x = 99,516,273,444
  5. Step 5: Solve for x
    x = 99,516,273,444/214,470
  6. Step 6: Final answer
    x = 464,010.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.