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Finding the Third Proportional to 362,093.63 and 547,799.63

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Solution

The third proportional to 362,093.63 and 547,799.63 is: 828,748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,093.63 : 547,799.63 = 547,799.63 : x
  2. Step 2: Convert to fraction form
    362,093.63/547,799.63 = 547,799.63/x
  3. Step 3: Cross multiply
    362,093.63x = 547,799.63 × 547,799.63
  4. Step 4: Simplify right side
    362,093.63x = 300,084,429,150.14
  5. Step 5: Solve for x
    x = 300,084,429,150.14/362,093.63
  6. Step 6: Final answer
    x = 828,748.17

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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.