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Finding the Third Proportional to 535,278.38 and 788,131.69

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Solution

The third proportional to 535,278.38 and 788,131.69 is: 1,160,427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,278.38 : 788,131.69 = 788,131.69 : x
  2. Step 2: Convert to fraction form
    535,278.38/788,131.69 = 788,131.69/x
  3. Step 3: Cross multiply
    535,278.38x = 788,131.69 × 788,131.69
  4. Step 4: Simplify right side
    535,278.38x = 621,151,556,841.60
  5. Step 5: Solve for x
    x = 621,151,556,841.60/535,278.38
  6. Step 6: Final answer
    x = 1,160,427.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.