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Finding the Third Proportional to 232,505.44 and 551,329.03

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Solution

The third proportional to 232,505.44 and 551,329.03 is: 1,307,340.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,505.44 : 551,329.03 = 551,329.03 : x
  2. Step 2: Convert to fraction form
    232,505.44/551,329.03 = 551,329.03/x
  3. Step 3: Cross multiply
    232,505.44x = 551,329.03 × 551,329.03
  4. Step 4: Simplify right side
    232,505.44x = 303,963,700,699.06
  5. Step 5: Solve for x
    x = 303,963,700,699.06/232,505.44
  6. Step 6: Final answer
    x = 1,307,340.18

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.