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Finding the Third Proportional to 583,459 and 852,832

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Solution

The third proportional to 583,459 and 852,832 is: 1,246,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,459 : 852,832 = 852,832 : x
  2. Step 2: Convert to fraction form
    583,459/852,832 = 852,832/x
  3. Step 3: Cross multiply
    583,459x = 852,832 × 852,832
  4. Step 4: Simplify right side
    583,459x = 727,322,420,224
  5. Step 5: Solve for x
    x = 727,322,420,224/583,459
  6. Step 6: Final answer
    x = 1,246,569.89

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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.