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Finding the Third Proportional to 270,773 and 396,922

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Solution

The third proportional to 270,773 and 396,922 is: 581,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,773 : 396,922 = 396,922 : x
  2. Step 2: Convert to fraction form
    270,773/396,922 = 396,922/x
  3. Step 3: Cross multiply
    270,773x = 396,922 × 396,922
  4. Step 4: Simplify right side
    270,773x = 157,547,074,084
  5. Step 5: Solve for x
    x = 157,547,074,084/270,773
  6. Step 6: Final answer
    x = 581,841.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.