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Finding the Third Proportional to 514,370 and 801,006

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Solution

The third proportional to 514,370 and 801,006 is: 1,247,371.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,370 : 801,006 = 801,006 : x
  2. Step 2: Convert to fraction form
    514,370/801,006 = 801,006/x
  3. Step 3: Cross multiply
    514,370x = 801,006 × 801,006
  4. Step 4: Simplify right side
    514,370x = 641,610,612,036
  5. Step 5: Solve for x
    x = 641,610,612,036/514,370
  6. Step 6: Final answer
    x = 1,247,371.76

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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.