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Finding the Third Proportional to 209,131.88 and 452,709

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Solution

The third proportional to 209,131.88 and 452,709 is: 979,981.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,131.88 : 452,709 = 452,709 : x
  2. Step 2: Convert to fraction form
    209,131.88/452,709 = 452,709/x
  3. Step 3: Cross multiply
    209,131.88x = 452,709 × 452,709
  4. Step 4: Simplify right side
    209,131.88x = 204,945,438,681
  5. Step 5: Solve for x
    x = 204,945,438,681/209,131.88
  6. Step 6: Final answer
    x = 979,981.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.