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Finding the Third Proportional to 602,193 and 886,655.25

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Solution

The third proportional to 602,193 and 886,655.25 is: 1,305,490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,193 : 886,655.25 = 886,655.25 : x
  2. Step 2: Convert to fraction form
    602,193/886,655.25 = 886,655.25/x
  3. Step 3: Cross multiply
    602,193x = 886,655.25 × 886,655.25
  4. Step 4: Simplify right side
    602,193x = 786,157,532,352.56
  5. Step 5: Solve for x
    x = 786,157,532,352.56/602,193
  6. Step 6: Final answer
    x = 1,305,490.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.