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Finding the Third Proportional to 217,798 and 468,958

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Solution

The third proportional to 217,798 and 468,958 is: 1,009,750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,798 : 468,958 = 468,958 : x
  2. Step 2: Convert to fraction form
    217,798/468,958 = 468,958/x
  3. Step 3: Cross multiply
    217,798x = 468,958 × 468,958
  4. Step 4: Simplify right side
    217,798x = 219,921,605,764
  5. Step 5: Solve for x
    x = 219,921,605,764/217,798
  6. Step 6: Final answer
    x = 1,009,750.35

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