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Finding the Third Proportional to 352,190.53 and 760,658.34

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Solution

The third proportional to 352,190.53 and 760,658.34 is: 1,642,863.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,190.53 : 760,658.34 = 760,658.34 : x
  2. Step 2: Convert to fraction form
    352,190.53/760,658.34 = 760,658.34/x
  3. Step 3: Cross multiply
    352,190.53x = 760,658.34 × 760,658.34
  4. Step 4: Simplify right side
    352,190.53x = 578,601,115,916.49
  5. Step 5: Solve for x
    x = 578,601,115,916.49/352,190.53
  6. Step 6: Final answer
    x = 1,642,863.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.