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Finding the Third Proportional to 491,738 and 741,070

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Solution

The third proportional to 491,738 and 741,070 is: 1,116,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,738 : 741,070 = 741,070 : x
  2. Step 2: Convert to fraction form
    491,738/741,070 = 741,070/x
  3. Step 3: Cross multiply
    491,738x = 741,070 × 741,070
  4. Step 4: Simplify right side
    491,738x = 549,184,744,900
  5. Step 5: Solve for x
    x = 549,184,744,900/491,738
  6. Step 6: Final answer
    x = 1,116,823.89

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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.