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Finding the Third Proportional to 467,056 and 749,180

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Solution

The third proportional to 467,056 and 749,180 is: 1,201,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,056 : 749,180 = 749,180 : x
  2. Step 2: Convert to fraction form
    467,056/749,180 = 749,180/x
  3. Step 3: Cross multiply
    467,056x = 749,180 × 749,180
  4. Step 4: Simplify right side
    467,056x = 561,270,672,400
  5. Step 5: Solve for x
    x = 561,270,672,400/467,056
  6. Step 6: Final answer
    x = 1,201,720.29

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.