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Finding the Third Proportional to 522,219 and 704,586

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Solution

The third proportional to 522,219 and 704,586 is: 950,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,219 : 704,586 = 704,586 : x
  2. Step 2: Convert to fraction form
    522,219/704,586 = 704,586/x
  3. Step 3: Cross multiply
    522,219x = 704,586 × 704,586
  4. Step 4: Simplify right side
    522,219x = 496,441,431,396
  5. Step 5: Solve for x
    x = 496,441,431,396/522,219
  6. Step 6: Final answer
    x = 950,638.39

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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.