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Finding the Third Proportional to 404,724 and 593,964

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Solution

The third proportional to 404,724 and 593,964 is: 871,688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,724 : 593,964 = 593,964 : x
  2. Step 2: Convert to fraction form
    404,724/593,964 = 593,964/x
  3. Step 3: Cross multiply
    404,724x = 593,964 × 593,964
  4. Step 4: Simplify right side
    404,724x = 352,793,233,296
  5. Step 5: Solve for x
    x = 352,793,233,296/404,724
  6. Step 6: Final answer
    x = 871,688.44

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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.