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Finding the Third Proportional to 201,926 and 440,528

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Solution

The third proportional to 201,926 and 440,528 is: 961,069.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,926 : 440,528 = 440,528 : x
  2. Step 2: Convert to fraction form
    201,926/440,528 = 440,528/x
  3. Step 3: Cross multiply
    201,926x = 440,528 × 440,528
  4. Step 4: Simplify right side
    201,926x = 194,064,918,784
  5. Step 5: Solve for x
    x = 194,064,918,784/201,926
  6. Step 6: Final answer
    x = 961,069.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.