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Finding the Third Proportional to 415,499.63 and 893,062.88

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Solution

The third proportional to 415,499.63 and 893,062.88 is: 1,919,523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,499.63 : 893,062.88 = 893,062.88 : x
  2. Step 2: Convert to fraction form
    415,499.63/893,062.88 = 893,062.88/x
  3. Step 3: Cross multiply
    415,499.63x = 893,062.88 × 893,062.88
  4. Step 4: Simplify right side
    415,499.63x = 797,561,298,703.27
  5. Step 5: Solve for x
    x = 797,561,298,703.27/415,499.63
  6. Step 6: Final answer
    x = 1,919,523.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.