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Finding the Third Proportional to 216,883 and 460,009

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Solution

The third proportional to 216,883 and 460,009 is: 975,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,883 : 460,009 = 460,009 : x
  2. Step 2: Convert to fraction form
    216,883/460,009 = 460,009/x
  3. Step 3: Cross multiply
    216,883x = 460,009 × 460,009
  4. Step 4: Simplify right side
    216,883x = 211,608,280,081
  5. Step 5: Solve for x
    x = 211,608,280,081/216,883
  6. Step 6: Final answer
    x = 975,679.42

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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.