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Finding the Third Proportional to 463,824 and 717,648

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Solution

The third proportional to 463,824 and 717,648 is: 1,110,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,824 : 717,648 = 717,648 : x
  2. Step 2: Convert to fraction form
    463,824/717,648 = 717,648/x
  3. Step 3: Cross multiply
    463,824x = 717,648 × 717,648
  4. Step 4: Simplify right side
    463,824x = 515,018,651,904
  5. Step 5: Solve for x
    x = 515,018,651,904/463,824
  6. Step 6: Final answer
    x = 1,110,375.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.