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Finding the Third Proportional to 217,562 and 461,224

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Solution

The third proportional to 217,562 and 461,224 is: 977,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,562 : 461,224 = 461,224 : x
  2. Step 2: Convert to fraction form
    217,562/461,224 = 461,224/x
  3. Step 3: Cross multiply
    217,562x = 461,224 × 461,224
  4. Step 4: Simplify right side
    217,562x = 212,727,578,176
  5. Step 5: Solve for x
    x = 212,727,578,176/217,562
  6. Step 6: Final answer
    x = 977,779.11

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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.