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Finding the Third Proportional to 438,424 and 594,128

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Solution

The third proportional to 438,424 and 594,128 is: 805,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,424 : 594,128 = 594,128 : x
  2. Step 2: Convert to fraction form
    438,424/594,128 = 594,128/x
  3. Step 3: Cross multiply
    438,424x = 594,128 × 594,128
  4. Step 4: Simplify right side
    438,424x = 352,988,080,384
  5. Step 5: Solve for x
    x = 352,988,080,384/438,424
  6. Step 6: Final answer
    x = 805,129.46

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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.