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Finding the Third Proportional to 201,258 and 441,396

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Solution

The third proportional to 201,258 and 441,396 is: 968,063.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,258 : 441,396 = 441,396 : x
  2. Step 2: Convert to fraction form
    201,258/441,396 = 441,396/x
  3. Step 3: Cross multiply
    201,258x = 441,396 × 441,396
  4. Step 4: Simplify right side
    201,258x = 194,830,428,816
  5. Step 5: Solve for x
    x = 194,830,428,816/201,258
  6. Step 6: Final answer
    x = 968,063.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.