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Finding the Third Proportional to 404,815 and 594,087

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Solution

The third proportional to 404,815 and 594,087 is: 871,853.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,815 : 594,087 = 594,087 : x
  2. Step 2: Convert to fraction form
    404,815/594,087 = 594,087/x
  3. Step 3: Cross multiply
    404,815x = 594,087 × 594,087
  4. Step 4: Simplify right side
    404,815x = 352,939,363,569
  5. Step 5: Solve for x
    x = 352,939,363,569/404,815
  6. Step 6: Final answer
    x = 871,853.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.