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Finding the Third Proportional to 404,722 and 593,959

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Solution

The third proportional to 404,722 and 593,959 is: 871,678.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,722 : 593,959 = 593,959 : x
  2. Step 2: Convert to fraction form
    404,722/593,959 = 593,959/x
  3. Step 3: Cross multiply
    404,722x = 593,959 × 593,959
  4. Step 4: Simplify right side
    404,722x = 352,787,293,681
  5. Step 5: Solve for x
    x = 352,787,293,681/404,722
  6. Step 6: Final answer
    x = 871,678.07

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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.