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Finding the Third Proportional to 348,654.75 and 538,360.50

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Solution

The third proportional to 348,654.75 and 538,360.50 is: 831,286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,654.75 : 538,360.50 = 538,360.50 : x
  2. Step 2: Convert to fraction form
    348,654.75/538,360.50 = 538,360.50/x
  3. Step 3: Cross multiply
    348,654.75x = 538,360.50 × 538,360.50
  4. Step 4: Simplify right side
    348,654.75x = 289,832,027,960.25
  5. Step 5: Solve for x
    x = 289,832,027,960.25/348,654.75
  6. Step 6: Final answer
    x = 831,286.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.