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Finding the Third Proportional to 522,258 and 704,652

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Solution

The third proportional to 522,258 and 704,652 is: 950,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,258 : 704,652 = 704,652 : x
  2. Step 2: Convert to fraction form
    522,258/704,652 = 704,652/x
  3. Step 3: Cross multiply
    522,258x = 704,652 × 704,652
  4. Step 4: Simplify right side
    522,258x = 496,534,441,104
  5. Step 5: Solve for x
    x = 496,534,441,104/522,258
  6. Step 6: Final answer
    x = 950,745.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.