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Finding the Third Proportional to 434,828.25 and 633,349.13

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Solution

The third proportional to 434,828.25 and 633,349.13 is: 922,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,828.25 : 633,349.13 = 633,349.13 : x
  2. Step 2: Convert to fraction form
    434,828.25/633,349.13 = 633,349.13/x
  3. Step 3: Cross multiply
    434,828.25x = 633,349.13 × 633,349.13
  4. Step 4: Simplify right side
    434,828.25x = 401,131,114,138.27
  5. Step 5: Solve for x
    x = 401,131,114,138.27/434,828.25
  6. Step 6: Final answer
    x = 922,504.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.