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Finding the Third Proportional to 207,322 and 435,532

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Solution

The third proportional to 207,322 and 435,532 is: 914,944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,322 : 435,532 = 435,532 : x
  2. Step 2: Convert to fraction form
    207,322/435,532 = 435,532/x
  3. Step 3: Cross multiply
    207,322x = 435,532 × 435,532
  4. Step 4: Simplify right side
    207,322x = 189,688,123,024
  5. Step 5: Solve for x
    x = 189,688,123,024/207,322
  6. Step 6: Final answer
    x = 914,944.50

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.