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Finding the Third Proportional to 450,024 and 632,928

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Solution

The third proportional to 450,024 and 632,928 is: 890,169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,024 : 632,928 = 632,928 : x
  2. Step 2: Convert to fraction form
    450,024/632,928 = 632,928/x
  3. Step 3: Cross multiply
    450,024x = 632,928 × 632,928
  4. Step 4: Simplify right side
    450,024x = 400,597,853,184
  5. Step 5: Solve for x
    x = 400,597,853,184/450,024
  6. Step 6: Final answer
    x = 890,169.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.