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Finding the Third Proportional to 522,242 and 704,633

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Solution

The third proportional to 522,242 and 704,633 is: 950,723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,242 : 704,633 = 704,633 : x
  2. Step 2: Convert to fraction form
    522,242/704,633 = 704,633/x
  3. Step 3: Cross multiply
    522,242x = 704,633 × 704,633
  4. Step 4: Simplify right side
    522,242x = 496,507,664,689
  5. Step 5: Solve for x
    x = 496,507,664,689/522,242
  6. Step 6: Final answer
    x = 950,723.35

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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.