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Finding the Third Proportional to 348,347.25 and 538,369.88

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Solution

The third proportional to 348,347.25 and 538,369.88 is: 832,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,347.25 : 538,369.88 = 538,369.88 : x
  2. Step 2: Convert to fraction form
    348,347.25/538,369.88 = 538,369.88/x
  3. Step 3: Cross multiply
    348,347.25x = 538,369.88 × 538,369.88
  4. Step 4: Simplify right side
    348,347.25x = 289,842,122,307.52
  5. Step 5: Solve for x
    x = 289,842,122,307.52/348,347.25
  6. Step 6: Final answer
    x = 832,049.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.