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Finding the Third Proportional to 472,336.31 and 1,012,058.44

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Solution

The third proportional to 472,336.31 and 1,012,058.44 is: 2,168,502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,336.31 : 1,012,058.44 = 1,012,058.44 : x
  2. Step 2: Convert to fraction form
    472,336.31/1,012,058.44 = 1,012,058.44/x
  3. Step 3: Cross multiply
    472,336.31x = 1,012,058.44 × 1,012,058.44
  4. Step 4: Simplify right side
    472,336.31x = 1,024,262,280,914.94
  5. Step 5: Solve for x
    x = 1,024,262,280,914.94/472,336.31
  6. Step 6: Final answer
    x = 2,168,502.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.