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Finding the Third Proportional to 386,506.41 and 601,844.48

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Solution

The third proportional to 386,506.41 and 601,844.48 is: 937,155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,506.41 : 601,844.48 = 601,844.48 : x
  2. Step 2: Convert to fraction form
    386,506.41/601,844.48 = 601,844.48/x
  3. Step 3: Cross multiply
    386,506.41x = 601,844.48 × 601,844.48
  4. Step 4: Simplify right side
    386,506.41x = 362,216,783,372.61
  5. Step 5: Solve for x
    x = 362,216,783,372.61/386,506.41
  6. Step 6: Final answer
    x = 937,155.96

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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.