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Finding the Third Proportional to 223,970 and 322,707

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Solution

The third proportional to 223,970 and 322,707 is: 464,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,970 : 322,707 = 322,707 : x
  2. Step 2: Convert to fraction form
    223,970/322,707 = 322,707/x
  3. Step 3: Cross multiply
    223,970x = 322,707 × 322,707
  4. Step 4: Simplify right side
    223,970x = 104,139,807,849
  5. Step 5: Solve for x
    x = 104,139,807,849/223,970
  6. Step 6: Final answer
    x = 464,972.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.