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Finding the Third Proportional to 334,224 and 468,432

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Solution

The third proportional to 334,224 and 468,432 is: 656,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,224 : 468,432 = 468,432 : x
  2. Step 2: Convert to fraction form
    334,224/468,432 = 468,432/x
  3. Step 3: Cross multiply
    334,224x = 468,432 × 468,432
  4. Step 4: Simplify right side
    334,224x = 219,428,538,624
  5. Step 5: Solve for x
    x = 219,428,538,624/334,224
  6. Step 6: Final answer
    x = 656,531.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.