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Finding the Third Proportional to 299,360.81 and 437,896.13

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Solution

The third proportional to 299,360.81 and 437,896.13 is: 640,541.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,360.81 : 437,896.13 = 437,896.13 : x
  2. Step 2: Convert to fraction form
    299,360.81/437,896.13 = 437,896.13/x
  3. Step 3: Cross multiply
    299,360.81x = 437,896.13 × 437,896.13
  4. Step 4: Simplify right side
    299,360.81x = 191,753,016,290.02
  5. Step 5: Solve for x
    x = 191,753,016,290.02/299,360.81
  6. Step 6: Final answer
    x = 640,541.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.