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Finding the Third Proportional to 219,345.75 and 471,334.50

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Solution

The third proportional to 219,345.75 and 471,334.50 is: 1,012,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,345.75 : 471,334.50 = 471,334.50 : x
  2. Step 2: Convert to fraction form
    219,345.75/471,334.50 = 471,334.50/x
  3. Step 3: Cross multiply
    219,345.75x = 471,334.50 × 471,334.50
  4. Step 4: Simplify right side
    219,345.75x = 222,156,210,890.25
  5. Step 5: Solve for x
    x = 222,156,210,890.25/219,345.75
  6. Step 6: Final answer
    x = 1,012,812.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.