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Finding the Third Proportional to 341,290 and 744,787

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Solution

The third proportional to 341,290 and 744,787 is: 1,625,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,290 : 744,787 = 744,787 : x
  2. Step 2: Convert to fraction form
    341,290/744,787 = 744,787/x
  3. Step 3: Cross multiply
    341,290x = 744,787 × 744,787
  4. Step 4: Simplify right side
    341,290x = 554,707,675,369
  5. Step 5: Solve for x
    x = 554,707,675,369/341,290
  6. Step 6: Final answer
    x = 1,625,326.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.