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Finding the Third Proportional to 336,212 and 520,572

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Solution

The third proportional to 336,212 and 520,572 is: 806,024.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,212 : 520,572 = 520,572 : x
  2. Step 2: Convert to fraction form
    336,212/520,572 = 520,572/x
  3. Step 3: Cross multiply
    336,212x = 520,572 × 520,572
  4. Step 4: Simplify right side
    336,212x = 270,995,207,184
  5. Step 5: Solve for x
    x = 270,995,207,184/336,212
  6. Step 6: Final answer
    x = 806,024.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.