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Finding the Third Proportional to 582,392 and 877,692

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Solution

The third proportional to 582,392 and 877,692 is: 1,322,722.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,392 : 877,692 = 877,692 : x
  2. Step 2: Convert to fraction form
    582,392/877,692 = 877,692/x
  3. Step 3: Cross multiply
    582,392x = 877,692 × 877,692
  4. Step 4: Simplify right side
    582,392x = 770,343,246,864
  5. Step 5: Solve for x
    x = 770,343,246,864/582,392
  6. Step 6: Final answer
    x = 1,322,722.92

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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.