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Finding the Third Proportional to 549,292 and 850,074

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Solution

The third proportional to 549,292 and 850,074 is: 1,315,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,292 : 850,074 = 850,074 : x
  2. Step 2: Convert to fraction form
    549,292/850,074 = 850,074/x
  3. Step 3: Cross multiply
    549,292x = 850,074 × 850,074
  4. Step 4: Simplify right side
    549,292x = 722,625,805,476
  5. Step 5: Solve for x
    x = 722,625,805,476/549,292
  6. Step 6: Final answer
    x = 1,315,558.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.