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Finding the Third Proportional to 472,950 and 1,024,630.50

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Solution

The third proportional to 472,950 and 1,024,630.50 is: 2,219,828.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,950 : 1,024,630.50 = 1,024,630.50 : x
  2. Step 2: Convert to fraction form
    472,950/1,024,630.50 = 1,024,630.50/x
  3. Step 3: Cross multiply
    472,950x = 1,024,630.50 × 1,024,630.50
  4. Step 4: Simplify right side
    472,950x = 1,049,867,661,530.25
  5. Step 5: Solve for x
    x = 1,049,867,661,530.25/472,950
  6. Step 6: Final answer
    x = 2,219,828.02

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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.