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Finding the Third Proportional to 508,274 and 747,627

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Solution

The third proportional to 508,274 and 747,627 is: 1,099,694.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,274 : 747,627 = 747,627 : x
  2. Step 2: Convert to fraction form
    508,274/747,627 = 747,627/x
  3. Step 3: Cross multiply
    508,274x = 747,627 × 747,627
  4. Step 4: Simplify right side
    508,274x = 558,946,131,129
  5. Step 5: Solve for x
    x = 558,946,131,129/508,274
  6. Step 6: Final answer
    x = 1,099,694.52

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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.