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Finding the Third Proportional to 582,642 and 787,194

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Solution

The third proportional to 582,642 and 787,194 is: 1,063,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,642 : 787,194 = 787,194 : x
  2. Step 2: Convert to fraction form
    582,642/787,194 = 787,194/x
  3. Step 3: Cross multiply
    582,642x = 787,194 × 787,194
  4. Step 4: Simplify right side
    582,642x = 619,674,393,636
  5. Step 5: Solve for x
    x = 619,674,393,636/582,642
  6. Step 6: Final answer
    x = 1,063,559.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.