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Finding the Third Proportional to 491,421 and 740,589

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Solution

The third proportional to 491,421 and 740,589 is: 1,116,094.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,421 : 740,589 = 740,589 : x
  2. Step 2: Convert to fraction form
    491,421/740,589 = 740,589/x
  3. Step 3: Cross multiply
    491,421x = 740,589 × 740,589
  4. Step 4: Simplify right side
    491,421x = 548,472,066,921
  5. Step 5: Solve for x
    x = 548,472,066,921/491,421
  6. Step 6: Final answer
    x = 1,116,094.08

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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.