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Finding the Third Proportional to 438,660 and 594,412

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Solution

The third proportional to 438,660 and 594,412 is: 805,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,660 : 594,412 = 594,412 : x
  2. Step 2: Convert to fraction form
    438,660/594,412 = 594,412/x
  3. Step 3: Cross multiply
    438,660x = 594,412 × 594,412
  4. Step 4: Simplify right side
    438,660x = 353,325,625,744
  5. Step 5: Solve for x
    x = 353,325,625,744/438,660
  6. Step 6: Final answer
    x = 805,465.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.