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Finding the Third Proportional to 398,585.81 and 605,259.84

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Solution

The third proportional to 398,585.81 and 605,259.84 is: 919,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,585.81 : 605,259.84 = 605,259.84 : x
  2. Step 2: Convert to fraction form
    398,585.81/605,259.84 = 605,259.84/x
  3. Step 3: Cross multiply
    398,585.81x = 605,259.84 × 605,259.84
  4. Step 4: Simplify right side
    398,585.81x = 366,339,478,456.27
  5. Step 5: Solve for x
    x = 366,339,478,456.27/398,585.81
  6. Step 6: Final answer
    x = 919,098.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.