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Finding the Third Proportional to 218,551 and 475,557

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Solution

The third proportional to 218,551 and 475,557 is: 1,034,790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,551 : 475,557 = 475,557 : x
  2. Step 2: Convert to fraction form
    218,551/475,557 = 475,557/x
  3. Step 3: Cross multiply
    218,551x = 475,557 × 475,557
  4. Step 4: Simplify right side
    218,551x = 226,154,460,249
  5. Step 5: Solve for x
    x = 226,154,460,249/218,551
  6. Step 6: Final answer
    x = 1,034,790.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.