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Finding the Third Proportional to 438,426 and 594,131

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Solution

The third proportional to 438,426 and 594,131 is: 805,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,426 : 594,131 = 594,131 : x
  2. Step 2: Convert to fraction form
    438,426/594,131 = 594,131/x
  3. Step 3: Cross multiply
    438,426x = 594,131 × 594,131
  4. Step 4: Simplify right side
    438,426x = 352,991,645,161
  5. Step 5: Solve for x
    x = 352,991,645,161/438,426
  6. Step 6: Final answer
    x = 805,133.92

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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.