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Finding the Third Proportional to 463,882.50 and 653,235.75

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Solution

The third proportional to 463,882.50 and 653,235.75 is: 919,881.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,882.50 : 653,235.75 = 653,235.75 : x
  2. Step 2: Convert to fraction form
    463,882.50/653,235.75 = 653,235.75/x
  3. Step 3: Cross multiply
    463,882.50x = 653,235.75 × 653,235.75
  4. Step 4: Simplify right side
    463,882.50x = 426,716,945,078.06
  5. Step 5: Solve for x
    x = 426,716,945,078.06/463,882.50
  6. Step 6: Final answer
    x = 919,881.53

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.