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Finding the Third Proportional to 450,024.75 and 633,016.13

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Solution

The third proportional to 450,024.75 and 633,016.13 is: 890,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,024.75 : 633,016.13 = 633,016.13 : x
  2. Step 2: Convert to fraction form
    450,024.75/633,016.13 = 633,016.13/x
  3. Step 3: Cross multiply
    450,024.75x = 633,016.13 × 633,016.13
  4. Step 4: Simplify right side
    450,024.75x = 400,709,414,510.02
  5. Step 5: Solve for x
    x = 400,709,414,510.02/450,024.75
  6. Step 6: Final answer
    x = 890,416.39

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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.