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Finding the Third Proportional to 250,046 and 539,194

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Solution

The third proportional to 250,046 and 539,194 is: 1,162,706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,046 : 539,194 = 539,194 : x
  2. Step 2: Convert to fraction form
    250,046/539,194 = 539,194/x
  3. Step 3: Cross multiply
    250,046x = 539,194 × 539,194
  4. Step 4: Simplify right side
    250,046x = 290,730,169,636
  5. Step 5: Solve for x
    x = 290,730,169,636/250,046
  6. Step 6: Final answer
    x = 1,162,706.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.