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Finding the Third Proportional to 404,160 and 603,744

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Solution

The third proportional to 404,160 and 603,744 is: 901,887.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,160 : 603,744 = 603,744 : x
  2. Step 2: Convert to fraction form
    404,160/603,744 = 603,744/x
  3. Step 3: Cross multiply
    404,160x = 603,744 × 603,744
  4. Step 4: Simplify right side
    404,160x = 364,506,817,536
  5. Step 5: Solve for x
    x = 364,506,817,536/404,160
  6. Step 6: Final answer
    x = 901,887.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.