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Finding the Third Proportional to 407,884.50 and 883,566

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Solution

The third proportional to 407,884.50 and 883,566 is: 1,913,994.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,884.50 : 883,566 = 883,566 : x
  2. Step 2: Convert to fraction form
    407,884.50/883,566 = 883,566/x
  3. Step 3: Cross multiply
    407,884.50x = 883,566 × 883,566
  4. Step 4: Simplify right side
    407,884.50x = 780,688,876,356
  5. Step 5: Solve for x
    x = 780,688,876,356/407,884.50
  6. Step 6: Final answer
    x = 1,913,994.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.