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Finding the Third Proportional to 549,288 and 850,068

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Solution

The third proportional to 549,288 and 850,068 is: 1,315,549.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,288 : 850,068 = 850,068 : x
  2. Step 2: Convert to fraction form
    549,288/850,068 = 850,068/x
  3. Step 3: Cross multiply
    549,288x = 850,068 × 850,068
  4. Step 4: Simplify right side
    549,288x = 722,615,604,624
  5. Step 5: Solve for x
    x = 722,615,604,624/549,288
  6. Step 6: Final answer
    x = 1,315,549.59

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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.