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Finding the Third Proportional to 404,140.50 and 657,033.75

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Solution

The third proportional to 404,140.50 and 657,033.75 is: 1,068,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,140.50 : 657,033.75 = 657,033.75 : x
  2. Step 2: Convert to fraction form
    404,140.50/657,033.75 = 657,033.75/x
  3. Step 3: Cross multiply
    404,140.50x = 657,033.75 × 657,033.75
  4. Step 4: Simplify right side
    404,140.50x = 431,693,348,639.06
  5. Step 5: Solve for x
    x = 431,693,348,639.06/404,140.50
  6. Step 6: Final answer
    x = 1,068,176.41

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.