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Finding the Third Proportional to 217,764 and 468,897.75

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Solution

The third proportional to 217,764 and 468,897.75 is: 1,009,648.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,764 : 468,897.75 = 468,897.75 : x
  2. Step 2: Convert to fraction form
    217,764/468,897.75 = 468,897.75/x
  3. Step 3: Cross multiply
    217,764x = 468,897.75 × 468,897.75
  4. Step 4: Simplify right side
    217,764x = 219,865,099,955.06
  5. Step 5: Solve for x
    x = 219,865,099,955.06/217,764
  6. Step 6: Final answer
    x = 1,009,648.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.