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Finding the Third Proportional to 299,577 and 651,642

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Solution

The third proportional to 299,577 and 651,642 is: 1,417,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,577 : 651,642 = 651,642 : x
  2. Step 2: Convert to fraction form
    299,577/651,642 = 651,642/x
  3. Step 3: Cross multiply
    299,577x = 651,642 × 651,642
  4. Step 4: Simplify right side
    299,577x = 424,637,296,164
  5. Step 5: Solve for x
    x = 424,637,296,164/299,577
  6. Step 6: Final answer
    x = 1,417,456.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.