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Finding the Third Proportional to 209,796 and 322,658

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Solution

The third proportional to 209,796 and 322,658 is: 496,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,796 : 322,658 = 322,658 : x
  2. Step 2: Convert to fraction form
    209,796/322,658 = 322,658/x
  3. Step 3: Cross multiply
    209,796x = 322,658 × 322,658
  4. Step 4: Simplify right side
    209,796x = 104,108,184,964
  5. Step 5: Solve for x
    x = 104,108,184,964/209,796
  6. Step 6: Final answer
    x = 496,235.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.