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Finding the Third Proportional to 303,886.69 and 472,619.81

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Solution

The third proportional to 303,886.69 and 472,619.81 is: 735,042.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,886.69 : 472,619.81 = 472,619.81 : x
  2. Step 2: Convert to fraction form
    303,886.69/472,619.81 = 472,619.81/x
  3. Step 3: Cross multiply
    303,886.69x = 472,619.81 × 472,619.81
  4. Step 4: Simplify right side
    303,886.69x = 223,369,487,167.54
  5. Step 5: Solve for x
    x = 223,369,487,167.54/303,886.69
  6. Step 6: Final answer
    x = 735,042.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.