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Finding the Third Proportional to 404,712 and 593,946

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Solution

The third proportional to 404,712 and 593,946 is: 871,661.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,712 : 593,946 = 593,946 : x
  2. Step 2: Convert to fraction form
    404,712/593,946 = 593,946/x
  3. Step 3: Cross multiply
    404,712x = 593,946 × 593,946
  4. Step 4: Simplify right side
    404,712x = 352,771,850,916
  5. Step 5: Solve for x
    x = 352,771,850,916/404,712
  6. Step 6: Final answer
    x = 871,661.46

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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.