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Finding the Third Proportional to 514,371 and 801,009

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Solution

The third proportional to 514,371 and 801,009 is: 1,247,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,371 : 801,009 = 801,009 : x
  2. Step 2: Convert to fraction form
    514,371/801,009 = 801,009/x
  3. Step 3: Cross multiply
    514,371x = 801,009 × 801,009
  4. Step 4: Simplify right side
    514,371x = 641,615,418,081
  5. Step 5: Solve for x
    x = 641,615,418,081/514,371
  6. Step 6: Final answer
    x = 1,247,378.68

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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.