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Finding the Third Proportional to 237,738 and 522,128

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Solution

The third proportional to 237,738 and 522,128 is: 1,146,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,738 : 522,128 = 522,128 : x
  2. Step 2: Convert to fraction form
    237,738/522,128 = 522,128/x
  3. Step 3: Cross multiply
    237,738x = 522,128 × 522,128
  4. Step 4: Simplify right side
    237,738x = 272,617,648,384
  5. Step 5: Solve for x
    x = 272,617,648,384/237,738
  6. Step 6: Final answer
    x = 1,146,714.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.