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Finding the Third Proportional to 303,833.53 and 662,339.53

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Solution

The third proportional to 303,833.53 and 662,339.53 is: 1,443,861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,833.53 : 662,339.53 = 662,339.53 : x
  2. Step 2: Convert to fraction form
    303,833.53/662,339.53 = 662,339.53/x
  3. Step 3: Cross multiply
    303,833.53x = 662,339.53 × 662,339.53
  4. Step 4: Simplify right side
    303,833.53x = 438,693,654,656.47
  5. Step 5: Solve for x
    x = 438,693,654,656.47/303,833.53
  6. Step 6: Final answer
    x = 1,443,861.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.