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Finding the Third Proportional to 404,721 and 593,959.50

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Solution

The third proportional to 404,721 and 593,959.50 is: 871,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,721 : 593,959.50 = 593,959.50 : x
  2. Step 2: Convert to fraction form
    404,721/593,959.50 = 593,959.50/x
  3. Step 3: Cross multiply
    404,721x = 593,959.50 × 593,959.50
  4. Step 4: Simplify right side
    404,721x = 352,787,887,640.25
  5. Step 5: Solve for x
    x = 352,787,887,640.25/404,721
  6. Step 6: Final answer
    x = 871,681.70

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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.