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Finding the Third Proportional to 260,079 and 558,957

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Solution

The third proportional to 260,079 and 558,957 is: 1,201,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,079 : 558,957 = 558,957 : x
  2. Step 2: Convert to fraction form
    260,079/558,957 = 558,957/x
  3. Step 3: Cross multiply
    260,079x = 558,957 × 558,957
  4. Step 4: Simplify right side
    260,079x = 312,432,927,849
  5. Step 5: Solve for x
    x = 312,432,927,849/260,079
  6. Step 6: Final answer
    x = 1,201,300.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.