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Finding the Third Proportional to 215,874 and 458,054

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Solution

The third proportional to 215,874 and 458,054 is: 971,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,874 : 458,054 = 458,054 : x
  2. Step 2: Convert to fraction form
    215,874/458,054 = 458,054/x
  3. Step 3: Cross multiply
    215,874x = 458,054 × 458,054
  4. Step 4: Simplify right side
    215,874x = 209,813,466,916
  5. Step 5: Solve for x
    x = 209,813,466,916/215,874
  6. Step 6: Final answer
    x = 971,925.60

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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.