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Finding the Third Proportional to 312,560 and 466,781

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Solution

The third proportional to 312,560 and 466,781 is: 697,096.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,560 : 466,781 = 466,781 : x
  2. Step 2: Convert to fraction form
    312,560/466,781 = 466,781/x
  3. Step 3: Cross multiply
    312,560x = 466,781 × 466,781
  4. Step 4: Simplify right side
    312,560x = 217,884,501,961
  5. Step 5: Solve for x
    x = 217,884,501,961/312,560
  6. Step 6: Final answer
    x = 697,096.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.