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Finding the Third Proportional to 414,508 and 514,260

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Solution

The third proportional to 414,508 and 514,260 is: 638,017.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,508 : 514,260 = 514,260 : x
  2. Step 2: Convert to fraction form
    414,508/514,260 = 514,260/x
  3. Step 3: Cross multiply
    414,508x = 514,260 × 514,260
  4. Step 4: Simplify right side
    414,508x = 264,463,347,600
  5. Step 5: Solve for x
    x = 264,463,347,600/414,508
  6. Step 6: Final answer
    x = 638,017.48

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.