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Finding the Third Proportional to 334,896 and 468,438

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Solution

The third proportional to 334,896 and 468,438 is: 655,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,896 : 468,438 = 468,438 : x
  2. Step 2: Convert to fraction form
    334,896/468,438 = 468,438/x
  3. Step 3: Cross multiply
    334,896x = 468,438 × 468,438
  4. Step 4: Simplify right side
    334,896x = 219,434,159,844
  5. Step 5: Solve for x
    x = 219,434,159,844/334,896
  6. Step 6: Final answer
    x = 655,230.76

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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.