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Finding the Third Proportional to 532,743 and 804,642

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Solution

The third proportional to 532,743 and 804,642 is: 1,215,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,743 : 804,642 = 804,642 : x
  2. Step 2: Convert to fraction form
    532,743/804,642 = 804,642/x
  3. Step 3: Cross multiply
    532,743x = 804,642 × 804,642
  4. Step 4: Simplify right side
    532,743x = 647,448,748,164
  5. Step 5: Solve for x
    x = 647,448,748,164/532,743
  6. Step 6: Final answer
    x = 1,215,311.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.