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Finding the Third Proportional to 483,984 and 751,862

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Solution

The third proportional to 483,984 and 751,862 is: 1,168,006.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,984 : 751,862 = 751,862 : x
  2. Step 2: Convert to fraction form
    483,984/751,862 = 751,862/x
  3. Step 3: Cross multiply
    483,984x = 751,862 × 751,862
  4. Step 4: Simplify right side
    483,984x = 565,296,467,044
  5. Step 5: Solve for x
    x = 565,296,467,044/483,984
  6. Step 6: Final answer
    x = 1,168,006.52

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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.