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Finding the Third Proportional to 334,913 and 468,463

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Solution

The third proportional to 334,913 and 468,463 is: 655,267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,913 : 468,463 = 468,463 : x
  2. Step 2: Convert to fraction form
    334,913/468,463 = 468,463/x
  3. Step 3: Cross multiply
    334,913x = 468,463 × 468,463
  4. Step 4: Simplify right side
    334,913x = 219,457,582,369
  5. Step 5: Solve for x
    x = 219,457,582,369/334,913
  6. Step 6: Final answer
    x = 655,267.43

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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.