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Finding the Third Proportional to 403,802 and 591,014

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Solution

The third proportional to 403,802 and 591,014 is: 865,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,802 : 591,014 = 591,014 : x
  2. Step 2: Convert to fraction form
    403,802/591,014 = 591,014/x
  3. Step 3: Cross multiply
    403,802x = 591,014 × 591,014
  4. Step 4: Simplify right side
    403,802x = 349,297,548,196
  5. Step 5: Solve for x
    x = 349,297,548,196/403,802
  6. Step 6: Final answer
    x = 865,021.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.