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Finding the Third Proportional to 336,642 and 733,548

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Solution

The third proportional to 336,642 and 733,548 is: 1,598,412.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,642 : 733,548 = 733,548 : x
  2. Step 2: Convert to fraction form
    336,642/733,548 = 733,548/x
  3. Step 3: Cross multiply
    336,642x = 733,548 × 733,548
  4. Step 4: Simplify right side
    336,642x = 538,092,668,304
  5. Step 5: Solve for x
    x = 538,092,668,304/336,642
  6. Step 6: Final answer
    x = 1,598,412.17

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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.