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Finding the Third Proportional to 615,269.25 and 931,404.38

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Solution

The third proportional to 615,269.25 and 931,404.38 is: 1,409,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,269.25 : 931,404.38 = 931,404.38 : x
  2. Step 2: Convert to fraction form
    615,269.25/931,404.38 = 931,404.38/x
  3. Step 3: Cross multiply
    615,269.25x = 931,404.38 × 931,404.38
  4. Step 4: Simplify right side
    615,269.25x = 867,514,109,769.14
  5. Step 5: Solve for x
    x = 867,514,109,769.14/615,269.25
  6. Step 6: Final answer
    x = 1,409,974.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.