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Finding the Third Proportional to 491,290 and 745,797

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Solution

The third proportional to 491,290 and 745,797 is: 1,132,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,290 : 745,797 = 745,797 : x
  2. Step 2: Convert to fraction form
    491,290/745,797 = 745,797/x
  3. Step 3: Cross multiply
    491,290x = 745,797 × 745,797
  4. Step 4: Simplify right side
    491,290x = 556,213,165,209
  5. Step 5: Solve for x
    x = 556,213,165,209/491,290
  6. Step 6: Final answer
    x = 1,132,148.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.