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Finding the Third Proportional to 404,701.31 and 584,673.19

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Solution

The third proportional to 404,701.31 and 584,673.19 is: 844,679.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,701.31 : 584,673.19 = 584,673.19 : x
  2. Step 2: Convert to fraction form
    404,701.31/584,673.19 = 584,673.19/x
  3. Step 3: Cross multiply
    404,701.31x = 584,673.19 × 584,673.19
  4. Step 4: Simplify right side
    404,701.31x = 341,842,736,181.41
  5. Step 5: Solve for x
    x = 341,842,736,181.41/404,701.31
  6. Step 6: Final answer
    x = 844,679.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.