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Finding the Third Proportional to 549,252.56 and 831,624.47

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Solution

The third proportional to 549,252.56 and 831,624.47 is: 1,259,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,252.56 : 831,624.47 = 831,624.47 : x
  2. Step 2: Convert to fraction form
    549,252.56/831,624.47 = 831,624.47/x
  3. Step 3: Cross multiply
    549,252.56x = 831,624.47 × 831,624.47
  4. Step 4: Simplify right side
    549,252.56x = 691,599,257,023.72
  5. Step 5: Solve for x
    x = 691,599,257,023.72/549,252.56
  6. Step 6: Final answer
    x = 1,259,164.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.