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Finding the Third Proportional to 417,375 and 623,606

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Solution

The third proportional to 417,375 and 623,606 is: 931,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,375 : 623,606 = 623,606 : x
  2. Step 2: Convert to fraction form
    417,375/623,606 = 623,606/x
  3. Step 3: Cross multiply
    417,375x = 623,606 × 623,606
  4. Step 4: Simplify right side
    417,375x = 388,884,443,236
  5. Step 5: Solve for x
    x = 388,884,443,236/417,375
  6. Step 6: Final answer
    x = 931,738.71

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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.