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Finding the Third Proportional to 403,466 and 593,517

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Solution

The third proportional to 403,466 and 593,517 is: 873,090.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,466 : 593,517 = 593,517 : x
  2. Step 2: Convert to fraction form
    403,466/593,517 = 593,517/x
  3. Step 3: Cross multiply
    403,466x = 593,517 × 593,517
  4. Step 4: Simplify right side
    403,466x = 352,262,429,289
  5. Step 5: Solve for x
    x = 352,262,429,289/403,466
  6. Step 6: Final answer
    x = 873,090.74

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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.