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Finding the Third Proportional to 404,919 and 575,646.75

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Solution

The third proportional to 404,919 and 575,646.75 is: 818,359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,919 : 575,646.75 = 575,646.75 : x
  2. Step 2: Convert to fraction form
    404,919/575,646.75 = 575,646.75/x
  3. Step 3: Cross multiply
    404,919x = 575,646.75 × 575,646.75
  4. Step 4: Simplify right side
    404,919x = 331,369,180,785.56
  5. Step 5: Solve for x
    x = 331,369,180,785.56/404,919
  6. Step 6: Final answer
    x = 818,359.18

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.