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Finding the Third Proportional to 363,178.69 and 531,873.84

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Solution

The third proportional to 363,178.69 and 531,873.84 is: 778,927.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,178.69 : 531,873.84 = 531,873.84 : x
  2. Step 2: Convert to fraction form
    363,178.69/531,873.84 = 531,873.84/x
  3. Step 3: Cross multiply
    363,178.69x = 531,873.84 × 531,873.84
  4. Step 4: Simplify right side
    363,178.69x = 282,889,785,665.40
  5. Step 5: Solve for x
    x = 282,889,785,665.40/363,178.69
  6. Step 6: Final answer
    x = 778,927.28

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