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Finding the Third Proportional to 216,927 and 450,258.75

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Solution

The third proportional to 216,927 and 450,258.75 is: 934,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,927 : 450,258.75 = 450,258.75 : x
  2. Step 2: Convert to fraction form
    216,927/450,258.75 = 450,258.75/x
  3. Step 3: Cross multiply
    216,927x = 450,258.75 × 450,258.75
  4. Step 4: Simplify right side
    216,927x = 202,732,941,951.56
  5. Step 5: Solve for x
    x = 202,732,941,951.56/216,927
  6. Step 6: Final answer
    x = 934,567.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.