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Finding the Third Proportional to 273,521.06 and 439,475.06

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Solution

The third proportional to 273,521.06 and 439,475.06 is: 706,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,521.06 : 439,475.06 = 439,475.06 : x
  2. Step 2: Convert to fraction form
    273,521.06/439,475.06 = 439,475.06/x
  3. Step 3: Cross multiply
    273,521.06x = 439,475.06 × 439,475.06
  4. Step 4: Simplify right side
    273,521.06x = 193,138,330,559.38
  5. Step 5: Solve for x
    x = 193,138,330,559.38/273,521.06
  6. Step 6: Final answer
    x = 706,118.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.