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Finding the Third Proportional to 207,477 and 329,980.50

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Solution

The third proportional to 207,477 and 329,980.50 is: 524,815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,477 : 329,980.50 = 329,980.50 : x
  2. Step 2: Convert to fraction form
    207,477/329,980.50 = 329,980.50/x
  3. Step 3: Cross multiply
    207,477x = 329,980.50 × 329,980.50
  4. Step 4: Simplify right side
    207,477x = 108,887,130,380.25
  5. Step 5: Solve for x
    x = 108,887,130,380.25/207,477
  6. Step 6: Final answer
    x = 524,815.43

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.