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Finding the Third Proportional to 514,115 and 800,454

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Solution

The third proportional to 514,115 and 800,454 is: 1,246,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,115 : 800,454 = 800,454 : x
  2. Step 2: Convert to fraction form
    514,115/800,454 = 800,454/x
  3. Step 3: Cross multiply
    514,115x = 800,454 × 800,454
  4. Step 4: Simplify right side
    514,115x = 640,726,606,116
  5. Step 5: Solve for x
    x = 640,726,606,116/514,115
  6. Step 6: Final answer
    x = 1,246,270.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.