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Finding the Third Proportional to 549,927.56 and 805,202.44

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Solution

The third proportional to 549,927.56 and 805,202.44 is: 1,178,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,927.56 : 805,202.44 = 805,202.44 : x
  2. Step 2: Convert to fraction form
    549,927.56/805,202.44 = 805,202.44/x
  3. Step 3: Cross multiply
    549,927.56x = 805,202.44 × 805,202.44
  4. Step 4: Simplify right side
    549,927.56x = 648,350,965,355.94
  5. Step 5: Solve for x
    x = 648,350,965,355.94/549,927.56
  6. Step 6: Final answer
    x = 1,178,975.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.