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Finding the Third Proportional to 334,903 and 468,448

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Solution

The third proportional to 334,903 and 468,448 is: 655,245.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,903 : 468,448 = 468,448 : x
  2. Step 2: Convert to fraction form
    334,903/468,448 = 468,448/x
  3. Step 3: Cross multiply
    334,903x = 468,448 × 468,448
  4. Step 4: Simplify right side
    334,903x = 219,443,528,704
  5. Step 5: Solve for x
    x = 219,443,528,704/334,903
  6. Step 6: Final answer
    x = 655,245.04

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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.