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Finding the Third Proportional to 200,585 and 440,534

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Solution

The third proportional to 200,585 and 440,534 is: 967,521.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,585 : 440,534 = 440,534 : x
  2. Step 2: Convert to fraction form
    200,585/440,534 = 440,534/x
  3. Step 3: Cross multiply
    200,585x = 440,534 × 440,534
  4. Step 4: Simplify right side
    200,585x = 194,070,205,156
  5. Step 5: Solve for x
    x = 194,070,205,156/200,585
  6. Step 6: Final answer
    x = 967,521.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.