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Finding the Third Proportional to 215,818 and 322,429

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Solution

The third proportional to 215,818 and 322,429 is: 481,704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,818 : 322,429 = 322,429 : x
  2. Step 2: Convert to fraction form
    215,818/322,429 = 322,429/x
  3. Step 3: Cross multiply
    215,818x = 322,429 × 322,429
  4. Step 4: Simplify right side
    215,818x = 103,960,460,041
  5. Step 5: Solve for x
    x = 103,960,460,041/215,818
  6. Step 6: Final answer
    x = 481,704.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.