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Finding the Third Proportional to 403,452 and 593,496

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Solution

The third proportional to 403,452 and 593,496 is: 873,059.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,452 : 593,496 = 593,496 : x
  2. Step 2: Convert to fraction form
    403,452/593,496 = 593,496/x
  3. Step 3: Cross multiply
    403,452x = 593,496 × 593,496
  4. Step 4: Simplify right side
    403,452x = 352,237,502,016
  5. Step 5: Solve for x
    x = 352,237,502,016/403,452
  6. Step 6: Final answer
    x = 873,059.25

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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.