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Finding the Third Proportional to 292,470.75 and 634,938.75

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Solution

The third proportional to 292,470.75 and 634,938.75 is: 1,378,418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,470.75 : 634,938.75 = 634,938.75 : x
  2. Step 2: Convert to fraction form
    292,470.75/634,938.75 = 634,938.75/x
  3. Step 3: Cross multiply
    292,470.75x = 634,938.75 × 634,938.75
  4. Step 4: Simplify right side
    292,470.75x = 403,147,216,251.56
  5. Step 5: Solve for x
    x = 403,147,216,251.56/292,470.75
  6. Step 6: Final answer
    x = 1,378,418.92

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.