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Finding the Third Proportional to 353,848 and 520,332

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Solution

The third proportional to 353,848 and 520,332 is: 765,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,848 : 520,332 = 520,332 : x
  2. Step 2: Convert to fraction form
    353,848/520,332 = 520,332/x
  3. Step 3: Cross multiply
    353,848x = 520,332 × 520,332
  4. Step 4: Simplify right side
    353,848x = 270,745,390,224
  5. Step 5: Solve for x
    x = 270,745,390,224/353,848
  6. Step 6: Final answer
    x = 765,146.02

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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.