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Finding the Third Proportional to 233,973.56 and 479,036.53

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Solution

The third proportional to 233,973.56 and 479,036.53 is: 980,777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,973.56 : 479,036.53 = 479,036.53 : x
  2. Step 2: Convert to fraction form
    233,973.56/479,036.53 = 479,036.53/x
  3. Step 3: Cross multiply
    233,973.56x = 479,036.53 × 479,036.53
  4. Step 4: Simplify right side
    233,973.56x = 229,475,998,272.03
  5. Step 5: Solve for x
    x = 229,475,998,272.03/233,973.56
  6. Step 6: Final answer
    x = 980,777.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.