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Finding the Third Proportional to 404,730 and 593,982

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Solution

The third proportional to 404,730 and 593,982 is: 871,728.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,730 : 593,982 = 593,982 : x
  2. Step 2: Convert to fraction form
    404,730/593,982 = 593,982/x
  3. Step 3: Cross multiply
    404,730x = 593,982 × 593,982
  4. Step 4: Simplify right side
    404,730x = 352,814,616,324
  5. Step 5: Solve for x
    x = 352,814,616,324/404,730
  6. Step 6: Final answer
    x = 871,728.35

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