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Finding the Third Proportional to 526,269.38 and 1,136,723.63

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Solution

The third proportional to 526,269.38 and 1,136,723.63 is: 2,455,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,269.38 : 1,136,723.63 = 1,136,723.63 : x
  2. Step 2: Convert to fraction form
    526,269.38/1,136,723.63 = 1,136,723.63/x
  3. Step 3: Cross multiply
    526,269.38x = 1,136,723.63 × 1,136,723.63
  4. Step 4: Simplify right side
    526,269.38x = 1,292,140,599,633.14
  5. Step 5: Solve for x
    x = 1,292,140,599,633.14/526,269.38
  6. Step 6: Final answer
    x = 2,455,283.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.