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Finding the Third Proportional to 233,239.50 and 491,384.81

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Solution

The third proportional to 233,239.50 and 491,384.81 is: 1,035,240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,239.50 : 491,384.81 = 491,384.81 : x
  2. Step 2: Convert to fraction form
    233,239.50/491,384.81 = 491,384.81/x
  3. Step 3: Cross multiply
    233,239.50x = 491,384.81 × 491,384.81
  4. Step 4: Simplify right side
    233,239.50x = 241,459,033,955.66
  5. Step 5: Solve for x
    x = 241,459,033,955.66/233,239.50
  6. Step 6: Final answer
    x = 1,035,240.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.