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Finding the Third Proportional to 348,833.25 and 493,732.13

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Solution

The third proportional to 348,833.25 and 493,732.13 is: 698,819.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,833.25 : 493,732.13 = 493,732.13 : x
  2. Step 2: Convert to fraction form
    348,833.25/493,732.13 = 493,732.13/x
  3. Step 3: Cross multiply
    348,833.25x = 493,732.13 × 493,732.13
  4. Step 4: Simplify right side
    348,833.25x = 243,771,411,257.02
  5. Step 5: Solve for x
    x = 243,771,411,257.02/348,833.25
  6. Step 6: Final answer
    x = 698,819.31

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.