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Finding the Third Proportional to 354,304 and 538,017

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Solution

The third proportional to 354,304 and 538,017 is: 816,988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,304 : 538,017 = 538,017 : x
  2. Step 2: Convert to fraction form
    354,304/538,017 = 538,017/x
  3. Step 3: Cross multiply
    354,304x = 538,017 × 538,017
  4. Step 4: Simplify right side
    354,304x = 289,462,292,289
  5. Step 5: Solve for x
    x = 289,462,292,289/354,304
  6. Step 6: Final answer
    x = 816,988.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.