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Finding the Third Proportional to 401,222 and 623,257.50

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Solution

The third proportional to 401,222 and 623,257.50 is: 968,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,222 : 623,257.50 = 623,257.50 : x
  2. Step 2: Convert to fraction form
    401,222/623,257.50 = 623,257.50/x
  3. Step 3: Cross multiply
    401,222x = 623,257.50 × 623,257.50
  4. Step 4: Simplify right side
    401,222x = 388,449,911,306.25
  5. Step 5: Solve for x
    x = 388,449,911,306.25/401,222
  6. Step 6: Final answer
    x = 968,167.03

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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.