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Finding the Third Proportional to 438,224 and 660,216

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Solution

The third proportional to 438,224 and 660,216 is: 994,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,224 : 660,216 = 660,216 : x
  2. Step 2: Convert to fraction form
    438,224/660,216 = 660,216/x
  3. Step 3: Cross multiply
    438,224x = 660,216 × 660,216
  4. Step 4: Simplify right side
    438,224x = 435,885,166,656
  5. Step 5: Solve for x
    x = 435,885,166,656/438,224
  6. Step 6: Final answer
    x = 994,662.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.