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Finding the Third Proportional to 438,224 and 626,232

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Solution

The third proportional to 438,224 and 626,232 is: 894,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,224 : 626,232 = 626,232 : x
  2. Step 2: Convert to fraction form
    438,224/626,232 = 626,232/x
  3. Step 3: Cross multiply
    438,224x = 626,232 × 626,232
  4. Step 4: Simplify right side
    438,224x = 392,166,517,824
  5. Step 5: Solve for x
    x = 392,166,517,824/438,224
  6. Step 6: Final answer
    x = 894,899.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.