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Finding the Third Proportional to 222,562.50 and 471,612

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Solution

The third proportional to 222,562.50 and 471,612 is: 999,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,562.50 : 471,612 = 471,612 : x
  2. Step 2: Convert to fraction form
    222,562.50/471,612 = 471,612/x
  3. Step 3: Cross multiply
    222,562.50x = 471,612 × 471,612
  4. Step 4: Simplify right side
    222,562.50x = 222,417,878,544
  5. Step 5: Solve for x
    x = 222,417,878,544/222,562.50
  6. Step 6: Final answer
    x = 999,350.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.