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Finding the Third Proportional to 362,124 and 547,840.13

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Solution

The third proportional to 362,124 and 547,840.13 is: 828,801.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,124 : 547,840.13 = 547,840.13 : x
  2. Step 2: Convert to fraction form
    362,124/547,840.13 = 547,840.13/x
  3. Step 3: Cross multiply
    362,124x = 547,840.13 × 547,840.13
  4. Step 4: Simplify right side
    362,124x = 300,128,802,560.02
  5. Step 5: Solve for x
    x = 300,128,802,560.02/362,124
  6. Step 6: Final answer
    x = 828,801.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.