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Finding the Third Proportional to 225,050 and 488,737

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Solution

The third proportional to 225,050 and 488,737 is: 1,061,381.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,050 : 488,737 = 488,737 : x
  2. Step 2: Convert to fraction form
    225,050/488,737 = 488,737/x
  3. Step 3: Cross multiply
    225,050x = 488,737 × 488,737
  4. Step 4: Simplify right side
    225,050x = 238,863,855,169
  5. Step 5: Solve for x
    x = 238,863,855,169/225,050
  6. Step 6: Final answer
    x = 1,061,381.27

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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.