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Finding the Third Proportional to 364,996.13 and 488,237.63

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Solution

The third proportional to 364,996.13 and 488,237.63 is: 653,091.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,996.13 : 488,237.63 = 488,237.63 : x
  2. Step 2: Convert to fraction form
    364,996.13/488,237.63 = 488,237.63/x
  3. Step 3: Cross multiply
    364,996.13x = 488,237.63 × 488,237.63
  4. Step 4: Simplify right side
    364,996.13x = 238,375,978,465.64
  5. Step 5: Solve for x
    x = 238,375,978,465.64/364,996.13
  6. Step 6: Final answer
    x = 653,091.81

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.