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Finding the Third Proportional to 270,995 and 402,562

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Solution

The third proportional to 270,995 and 402,562 is: 598,004.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,995 : 402,562 = 402,562 : x
  2. Step 2: Convert to fraction form
    270,995/402,562 = 402,562/x
  3. Step 3: Cross multiply
    270,995x = 402,562 × 402,562
  4. Step 4: Simplify right side
    270,995x = 162,056,163,844
  5. Step 5: Solve for x
    x = 162,056,163,844/270,995
  6. Step 6: Final answer
    x = 598,004.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.