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Finding the Third Proportional to 215,314.50 and 471,453

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Solution

The third proportional to 215,314.50 and 471,453 is: 1,032,294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,314.50 : 471,453 = 471,453 : x
  2. Step 2: Convert to fraction form
    215,314.50/471,453 = 471,453/x
  3. Step 3: Cross multiply
    215,314.50x = 471,453 × 471,453
  4. Step 4: Simplify right side
    215,314.50x = 222,267,931,209
  5. Step 5: Solve for x
    x = 222,267,931,209/215,314.50
  6. Step 6: Final answer
    x = 1,032,294.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.