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Finding the Third Proportional to 407,185.50 and 886,659

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Solution

The third proportional to 407,185.50 and 886,659 is: 1,930,727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,185.50 : 886,659 = 886,659 : x
  2. Step 2: Convert to fraction form
    407,185.50/886,659 = 886,659/x
  3. Step 3: Cross multiply
    407,185.50x = 886,659 × 886,659
  4. Step 4: Simplify right side
    407,185.50x = 786,164,182,281
  5. Step 5: Solve for x
    x = 786,164,182,281/407,185.50
  6. Step 6: Final answer
    x = 1,930,727.35

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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.