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Finding the Third Proportional to 333,623.81 and 476,690.06

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Solution

The third proportional to 333,623.81 and 476,690.06 is: 681,106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,623.81 : 476,690.06 = 476,690.06 : x
  2. Step 2: Convert to fraction form
    333,623.81/476,690.06 = 476,690.06/x
  3. Step 3: Cross multiply
    333,623.81x = 476,690.06 × 476,690.06
  4. Step 4: Simplify right side
    333,623.81x = 227,233,415,686.25
  5. Step 5: Solve for x
    x = 227,233,415,686.25/333,623.81
  6. Step 6: Final answer
    x = 681,106.71

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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.