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Finding the Third Proportional to 362,956.57 and 549,355.61

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Solution

The third proportional to 362,956.57 and 549,355.61 is: 831,481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,956.57 : 549,355.61 = 549,355.61 : x
  2. Step 2: Convert to fraction form
    362,956.57/549,355.61 = 549,355.61/x
  3. Step 3: Cross multiply
    362,956.57x = 549,355.61 × 549,355.61
  4. Step 4: Simplify right side
    362,956.57x = 301,791,581,259.94
  5. Step 5: Solve for x
    x = 301,791,581,259.94/362,956.57
  6. Step 6: Final answer
    x = 831,481.25

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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.