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Finding the Third Proportional to 403,472 and 593,526

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Solution

The third proportional to 403,472 and 593,526 is: 873,104.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,472 : 593,526 = 593,526 : x
  2. Step 2: Convert to fraction form
    403,472/593,526 = 593,526/x
  3. Step 3: Cross multiply
    403,472x = 593,526 × 593,526
  4. Step 4: Simplify right side
    403,472x = 352,273,112,676
  5. Step 5: Solve for x
    x = 352,273,112,676/403,472
  6. Step 6: Final answer
    x = 873,104.24

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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.