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Finding the Third Proportional to 507,204 and 755,946

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Solution

The third proportional to 507,204 and 755,946 is: 1,126,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,204 : 755,946 = 755,946 : x
  2. Step 2: Convert to fraction form
    507,204/755,946 = 755,946/x
  3. Step 3: Cross multiply
    507,204x = 755,946 × 755,946
  4. Step 4: Simplify right side
    507,204x = 571,454,354,916
  5. Step 5: Solve for x
    x = 571,454,354,916/507,204
  6. Step 6: Final answer
    x = 1,126,675.57

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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.