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Finding the Third Proportional to 333,163.13 and 474,823.69

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Solution

The third proportional to 333,163.13 and 474,823.69 is: 676,718.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,163.13 : 474,823.69 = 474,823.69 : x
  2. Step 2: Convert to fraction form
    333,163.13/474,823.69 = 474,823.69/x
  3. Step 3: Cross multiply
    333,163.13x = 474,823.69 × 474,823.69
  4. Step 4: Simplify right side
    333,163.13x = 225,457,534,211.10
  5. Step 5: Solve for x
    x = 225,457,534,211.10/333,163.13
  6. Step 6: Final answer
    x = 676,718.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.