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Finding the Third Proportional to 767,231 and 1,161,508

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Solution

The third proportional to 767,231 and 1,161,508 is: 1,758,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,231 : 1,161,508 = 1,161,508 : x
  2. Step 2: Convert to fraction form
    767,231/1,161,508 = 1,161,508/x
  3. Step 3: Cross multiply
    767,231x = 1,161,508 × 1,161,508
  4. Step 4: Simplify right side
    767,231x = 1,349,100,834,064
  5. Step 5: Solve for x
    x = 1,349,100,834,064/767,231
  6. Step 6: Final answer
    x = 1,758,402.40

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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.