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Finding the Third Proportional to 421,533 and 632,313

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Solution

The third proportional to 421,533 and 632,313 is: 948,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,533 : 632,313 = 632,313 : x
  2. Step 2: Convert to fraction form
    421,533/632,313 = 632,313/x
  3. Step 3: Cross multiply
    421,533x = 632,313 × 632,313
  4. Step 4: Simplify right side
    421,533x = 399,819,729,969
  5. Step 5: Solve for x
    x = 399,819,729,969/421,533
  6. Step 6: Final answer
    x = 948,489.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.