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Finding the Third Proportional to 466,823.25 and 741,058.88

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Solution

The third proportional to 466,823.25 and 741,058.88 is: 1,176,394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,823.25 : 741,058.88 = 741,058.88 : x
  2. Step 2: Convert to fraction form
    466,823.25/741,058.88 = 741,058.88/x
  3. Step 3: Cross multiply
    466,823.25x = 741,058.88 × 741,058.88
  4. Step 4: Simplify right side
    466,823.25x = 549,168,256,216.27
  5. Step 5: Solve for x
    x = 549,168,256,216.27/466,823.25
  6. Step 6: Final answer
    x = 1,176,394.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.