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Finding the Third Proportional to 501,411 and 754,512

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Solution

The third proportional to 501,411 and 754,512 is: 1,135,372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,411 : 754,512 = 754,512 : x
  2. Step 2: Convert to fraction form
    501,411/754,512 = 754,512/x
  3. Step 3: Cross multiply
    501,411x = 754,512 × 754,512
  4. Step 4: Simplify right side
    501,411x = 569,288,358,144
  5. Step 5: Solve for x
    x = 569,288,358,144/501,411
  6. Step 6: Final answer
    x = 1,135,372.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.