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Finding the Third Proportional to 549,217 and 826,633.50

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Solution

The third proportional to 549,217 and 826,633.50 is: 1,244,176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,217 : 826,633.50 = 826,633.50 : x
  2. Step 2: Convert to fraction form
    549,217/826,633.50 = 826,633.50/x
  3. Step 3: Cross multiply
    549,217x = 826,633.50 × 826,633.50
  4. Step 4: Simplify right side
    549,217x = 683,322,943,322.25
  5. Step 5: Solve for x
    x = 683,322,943,322.25/549,217
  6. Step 6: Final answer
    x = 1,244,176.61

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