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Finding the Third Proportional to 526,194 and 744,579

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Solution

The third proportional to 526,194 and 744,579 is: 1,053,599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,194 : 744,579 = 744,579 : x
  2. Step 2: Convert to fraction form
    526,194/744,579 = 744,579/x
  3. Step 3: Cross multiply
    526,194x = 744,579 × 744,579
  4. Step 4: Simplify right side
    526,194x = 554,397,887,241
  5. Step 5: Solve for x
    x = 554,397,887,241/526,194
  6. Step 6: Final answer
    x = 1,053,599.79

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.