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Finding the Third Proportional to 202,824 and 441,312

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Solution

The third proportional to 202,824 and 441,312 is: 960,223.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,824 : 441,312 = 441,312 : x
  2. Step 2: Convert to fraction form
    202,824/441,312 = 441,312/x
  3. Step 3: Cross multiply
    202,824x = 441,312 × 441,312
  4. Step 4: Simplify right side
    202,824x = 194,756,281,344
  5. Step 5: Solve for x
    x = 194,756,281,344/202,824
  6. Step 6: Final answer
    x = 960,223.06

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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.