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Finding the Third Proportional to 502,254 and 757,912

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Solution

The third proportional to 502,254 and 757,912 is: 1,143,705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,254 : 757,912 = 757,912 : x
  2. Step 2: Convert to fraction form
    502,254/757,912 = 757,912/x
  3. Step 3: Cross multiply
    502,254x = 757,912 × 757,912
  4. Step 4: Simplify right side
    502,254x = 574,430,599,744
  5. Step 5: Solve for x
    x = 574,430,599,744/502,254
  6. Step 6: Final answer
    x = 1,143,705.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.