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Finding the Third Proportional to 403,824 and 591,048

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Solution

The third proportional to 403,824 and 591,048 is: 865,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,824 : 591,048 = 591,048 : x
  2. Step 2: Convert to fraction form
    403,824/591,048 = 591,048/x
  3. Step 3: Cross multiply
    403,824x = 591,048 × 591,048
  4. Step 4: Simplify right side
    403,824x = 349,337,738,304
  5. Step 5: Solve for x
    x = 349,337,738,304/403,824
  6. Step 6: Final answer
    x = 865,074.24

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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.