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Finding the Third Proportional to 583,936 and 852,940

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Solution

The third proportional to 583,936 and 852,940 is: 1,245,867.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,936 : 852,940 = 852,940 : x
  2. Step 2: Convert to fraction form
    583,936/852,940 = 852,940/x
  3. Step 3: Cross multiply
    583,936x = 852,940 × 852,940
  4. Step 4: Simplify right side
    583,936x = 727,506,643,600
  5. Step 5: Solve for x
    x = 727,506,643,600/583,936
  6. Step 6: Final answer
    x = 1,245,867.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.