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Finding the Third Proportional to 403,470 and 593,523

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Solution

The third proportional to 403,470 and 593,523 is: 873,099.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,470 : 593,523 = 593,523 : x
  2. Step 2: Convert to fraction form
    403,470/593,523 = 593,523/x
  3. Step 3: Cross multiply
    403,470x = 593,523 × 593,523
  4. Step 4: Simplify right side
    403,470x = 352,269,551,529
  5. Step 5: Solve for x
    x = 352,269,551,529/403,470
  6. Step 6: Final answer
    x = 873,099.74

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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.