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Finding the Third Proportional to 353,119 and 532,979

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Solution

The third proportional to 353,119 and 532,979 is: 804,450.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,119 : 532,979 = 532,979 : x
  2. Step 2: Convert to fraction form
    353,119/532,979 = 532,979/x
  3. Step 3: Cross multiply
    353,119x = 532,979 × 532,979
  4. Step 4: Simplify right side
    353,119x = 284,066,614,441
  5. Step 5: Solve for x
    x = 284,066,614,441/353,119
  6. Step 6: Final answer
    x = 804,450.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.