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Finding the Third Proportional to 250,854 and 549,310

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Solution

The third proportional to 250,854 and 549,310 is: 1,202,856.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,854 : 549,310 = 549,310 : x
  2. Step 2: Convert to fraction form
    250,854/549,310 = 549,310/x
  3. Step 3: Cross multiply
    250,854x = 549,310 × 549,310
  4. Step 4: Simplify right side
    250,854x = 301,741,476,100
  5. Step 5: Solve for x
    x = 301,741,476,100/250,854
  6. Step 6: Final answer
    x = 1,202,856.95

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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.