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Finding the Third Proportional to 348,753.94 and 493,624.13

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Solution

The third proportional to 348,753.94 and 493,624.13 is: 698,672.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,753.94 : 493,624.13 = 493,624.13 : x
  2. Step 2: Convert to fraction form
    348,753.94/493,624.13 = 493,624.13/x
  3. Step 3: Cross multiply
    348,753.94x = 493,624.13 × 493,624.13
  4. Step 4: Simplify right side
    348,753.94x = 243,664,776,782.02
  5. Step 5: Solve for x
    x = 243,664,776,782.02/348,753.94
  6. Step 6: Final answer
    x = 698,672.48

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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.