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Finding the Third Proportional to 417,258 and 566,803

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Solution

The third proportional to 417,258 and 566,803 is: 769,944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,258 : 566,803 = 566,803 : x
  2. Step 2: Convert to fraction form
    417,258/566,803 = 566,803/x
  3. Step 3: Cross multiply
    417,258x = 566,803 × 566,803
  4. Step 4: Simplify right side
    417,258x = 321,265,640,809
  5. Step 5: Solve for x
    x = 321,265,640,809/417,258
  6. Step 6: Final answer
    x = 769,944.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.