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Finding the Third Proportional to 237,132 and 559,764

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Solution

The third proportional to 237,132 and 559,764 is: 1,321,355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,132 : 559,764 = 559,764 : x
  2. Step 2: Convert to fraction form
    237,132/559,764 = 559,764/x
  3. Step 3: Cross multiply
    237,132x = 559,764 × 559,764
  4. Step 4: Simplify right side
    237,132x = 313,335,735,696
  5. Step 5: Solve for x
    x = 313,335,735,696/237,132
  6. Step 6: Final answer
    x = 1,321,355.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.