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Finding the Third Proportional to 401,226.75 and 623,266.88

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Solution

The third proportional to 401,226.75 and 623,266.88 is: 968,184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,226.75 : 623,266.88 = 623,266.88 : x
  2. Step 2: Convert to fraction form
    401,226.75/623,266.88 = 623,266.88/x
  3. Step 3: Cross multiply
    401,226.75x = 623,266.88 × 623,266.88
  4. Step 4: Simplify right side
    401,226.75x = 388,461,597,472.27
  5. Step 5: Solve for x
    x = 388,461,597,472.27/401,226.75
  6. Step 6: Final answer
    x = 968,184.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.