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Finding the Third Proportional to 549,308 and 850,096

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Solution

The third proportional to 549,308 and 850,096 is: 1,315,588.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,308 : 850,096 = 850,096 : x
  2. Step 2: Convert to fraction form
    549,308/850,096 = 850,096/x
  3. Step 3: Cross multiply
    549,308x = 850,096 × 850,096
  4. Step 4: Simplify right side
    549,308x = 722,663,209,216
  5. Step 5: Solve for x
    x = 722,663,209,216/549,308
  6. Step 6: Final answer
    x = 1,315,588.36

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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.