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Finding the Third Proportional to 458,091 and 997,507.50

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Solution

The third proportional to 458,091 and 997,507.50 is: 2,172,103.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,091 : 997,507.50 = 997,507.50 : x
  2. Step 2: Convert to fraction form
    458,091/997,507.50 = 997,507.50/x
  3. Step 3: Cross multiply
    458,091x = 997,507.50 × 997,507.50
  4. Step 4: Simplify right side
    458,091x = 995,021,212,556.25
  5. Step 5: Solve for x
    x = 995,021,212,556.25/458,091
  6. Step 6: Final answer
    x = 2,172,103.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.