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Finding the Third Proportional to 237,063 and 559,609.50

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Solution

The third proportional to 237,063 and 559,609.50 is: 1,321,010.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,063 : 559,609.50 = 559,609.50 : x
  2. Step 2: Convert to fraction form
    237,063/559,609.50 = 559,609.50/x
  3. Step 3: Cross multiply
    237,063x = 559,609.50 × 559,609.50
  4. Step 4: Simplify right side
    237,063x = 313,162,792,490.25
  5. Step 5: Solve for x
    x = 313,162,792,490.25/237,063
  6. Step 6: Final answer
    x = 1,321,010.84

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