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Finding the Third Proportional to 262,869 and 574,386

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Solution

The third proportional to 262,869 and 574,386 is: 1,255,071.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,869 : 574,386 = 574,386 : x
  2. Step 2: Convert to fraction form
    262,869/574,386 = 574,386/x
  3. Step 3: Cross multiply
    262,869x = 574,386 × 574,386
  4. Step 4: Simplify right side
    262,869x = 329,919,276,996
  5. Step 5: Solve for x
    x = 329,919,276,996/262,869
  6. Step 6: Final answer
    x = 1,255,071.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.