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Finding the Third Proportional to 237,720.94 and 560,607.75

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Solution

The third proportional to 237,720.94 and 560,607.75 is: 1,322,058.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,720.94 : 560,607.75 = 560,607.75 : x
  2. Step 2: Convert to fraction form
    237,720.94/560,607.75 = 560,607.75/x
  3. Step 3: Cross multiply
    237,720.94x = 560,607.75 × 560,607.75
  4. Step 4: Simplify right side
    237,720.94x = 314,281,049,360.06
  5. Step 5: Solve for x
    x = 314,281,049,360.06/237,720.94
  6. Step 6: Final answer
    x = 1,322,058.77

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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.