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Finding the Third Proportional to 237,062 and 559,607

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Solution

The third proportional to 237,062 and 559,607 is: 1,321,004.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,062 : 559,607 = 559,607 : x
  2. Step 2: Convert to fraction form
    237,062/559,607 = 559,607/x
  3. Step 3: Cross multiply
    237,062x = 559,607 × 559,607
  4. Step 4: Simplify right side
    237,062x = 313,159,994,449
  5. Step 5: Solve for x
    x = 313,159,994,449/237,062
  6. Step 6: Final answer
    x = 1,321,004.61

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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.