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Finding the Third Proportional to 225,051 and 488,740

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Solution

The third proportional to 225,051 and 488,740 is: 1,061,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,051 : 488,740 = 488,740 : x
  2. Step 2: Convert to fraction form
    225,051/488,740 = 488,740/x
  3. Step 3: Cross multiply
    225,051x = 488,740 × 488,740
  4. Step 4: Simplify right side
    225,051x = 238,866,787,600
  5. Step 5: Solve for x
    x = 238,866,787,600/225,051
  6. Step 6: Final answer
    x = 1,061,389.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.