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Finding the Third Proportional to 458,559 and 611,575.50

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Solution

The third proportional to 458,559 and 611,575.50 is: 815,652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,559 : 611,575.50 = 611,575.50 : x
  2. Step 2: Convert to fraction form
    458,559/611,575.50 = 611,575.50/x
  3. Step 3: Cross multiply
    458,559x = 611,575.50 × 611,575.50
  4. Step 4: Simplify right side
    458,559x = 374,024,592,200.25
  5. Step 5: Solve for x
    x = 374,024,592,200.25/458,559
  6. Step 6: Final answer
    x = 815,652.06

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.