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Finding the Third Proportional to 217,570.50 and 471,429

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Solution

The third proportional to 217,570.50 and 471,429 is: 1,021,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,570.50 : 471,429 = 471,429 : x
  2. Step 2: Convert to fraction form
    217,570.50/471,429 = 471,429/x
  3. Step 3: Cross multiply
    217,570.50x = 471,429 × 471,429
  4. Step 4: Simplify right side
    217,570.50x = 222,245,302,041
  5. Step 5: Solve for x
    x = 222,245,302,041/217,570.50
  6. Step 6: Final answer
    x = 1,021,486.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.