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Finding the Third Proportional to 476,103 and 631,858.50

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Solution

The third proportional to 476,103 and 631,858.50 is: 838,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,103 : 631,858.50 = 631,858.50 : x
  2. Step 2: Convert to fraction form
    476,103/631,858.50 = 631,858.50/x
  3. Step 3: Cross multiply
    476,103x = 631,858.50 × 631,858.50
  4. Step 4: Simplify right side
    476,103x = 399,245,164,022.25
  5. Step 5: Solve for x
    x = 399,245,164,022.25/476,103
  6. Step 6: Final answer
    x = 838,568.89

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.