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Finding the Third Proportional to 331,538.06 and 506,822.06

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Solution

The third proportional to 331,538.06 and 506,822.06 is: 774,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,538.06 : 506,822.06 = 506,822.06 : x
  2. Step 2: Convert to fraction form
    331,538.06/506,822.06 = 506,822.06/x
  3. Step 3: Cross multiply
    331,538.06x = 506,822.06 × 506,822.06
  4. Step 4: Simplify right side
    331,538.06x = 256,868,603,036.75
  5. Step 5: Solve for x
    x = 256,868,603,036.75/331,538.06
  6. Step 6: Final answer
    x = 774,778.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.