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Finding the Third Proportional to 255,053 and 374,801

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Solution

The third proportional to 255,053 and 374,801 is: 550,770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,053 : 374,801 = 374,801 : x
  2. Step 2: Convert to fraction form
    255,053/374,801 = 374,801/x
  3. Step 3: Cross multiply
    255,053x = 374,801 × 374,801
  4. Step 4: Simplify right side
    255,053x = 140,475,789,601
  5. Step 5: Solve for x
    x = 140,475,789,601/255,053
  6. Step 6: Final answer
    x = 550,770.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.