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Finding the Third Proportional to 582,960 and 857,770

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Solution

The third proportional to 582,960 and 857,770 is: 1,262,126.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,960 : 857,770 = 857,770 : x
  2. Step 2: Convert to fraction form
    582,960/857,770 = 857,770/x
  3. Step 3: Cross multiply
    582,960x = 857,770 × 857,770
  4. Step 4: Simplify right side
    582,960x = 735,769,372,900
  5. Step 5: Solve for x
    x = 735,769,372,900/582,960
  6. Step 6: Final answer
    x = 1,262,126.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.