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Finding the Third Proportional to 582,996 and 886,590

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Solution

The third proportional to 582,996 and 886,590 is: 1,348,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,996 : 886,590 = 886,590 : x
  2. Step 2: Convert to fraction form
    582,996/886,590 = 886,590/x
  3. Step 3: Cross multiply
    582,996x = 886,590 × 886,590
  4. Step 4: Simplify right side
    582,996x = 786,041,828,100
  5. Step 5: Solve for x
    x = 786,041,828,100/582,996
  6. Step 6: Final answer
    x = 1,348,279.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.