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Finding the Third Proportional to 291,214 and 596,540

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Solution

The third proportional to 291,214 and 596,540 is: 1,221,987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,214 : 596,540 = 596,540 : x
  2. Step 2: Convert to fraction form
    291,214/596,540 = 596,540/x
  3. Step 3: Cross multiply
    291,214x = 596,540 × 596,540
  4. Step 4: Simplify right side
    291,214x = 355,859,971,600
  5. Step 5: Solve for x
    x = 355,859,971,600/291,214
  6. Step 6: Final answer
    x = 1,221,987.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.