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Finding the Third Proportional to 240,734 and 512,572

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Solution

The third proportional to 240,734 and 512,572 is: 1,091,370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,734 : 512,572 = 512,572 : x
  2. Step 2: Convert to fraction form
    240,734/512,572 = 512,572/x
  3. Step 3: Cross multiply
    240,734x = 512,572 × 512,572
  4. Step 4: Simplify right side
    240,734x = 262,730,055,184
  5. Step 5: Solve for x
    x = 262,730,055,184/240,734
  6. Step 6: Final answer
    x = 1,091,370.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.