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Finding the Third Proportional to 334,909 and 468,457

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Solution

The third proportional to 334,909 and 468,457 is: 655,258.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,909 : 468,457 = 468,457 : x
  2. Step 2: Convert to fraction form
    334,909/468,457 = 468,457/x
  3. Step 3: Cross multiply
    334,909x = 468,457 × 468,457
  4. Step 4: Simplify right side
    334,909x = 219,451,960,849
  5. Step 5: Solve for x
    x = 219,451,960,849/334,909
  6. Step 6: Final answer
    x = 655,258.48

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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.