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Finding the Third Proportional to 404,808 and 594,088

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Solution

The third proportional to 404,808 and 594,088 is: 871,871.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,808 : 594,088 = 594,088 : x
  2. Step 2: Convert to fraction form
    404,808/594,088 = 594,088/x
  3. Step 3: Cross multiply
    404,808x = 594,088 × 594,088
  4. Step 4: Simplify right side
    404,808x = 352,940,551,744
  5. Step 5: Solve for x
    x = 352,940,551,744/404,808
  6. Step 6: Final answer
    x = 871,871.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.