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Finding the Third Proportional to 409,880.25 and 880,996.50

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Solution

The third proportional to 409,880.25 and 880,996.50 is: 1,893,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,880.25 : 880,996.50 = 880,996.50 : x
  2. Step 2: Convert to fraction form
    409,880.25/880,996.50 = 880,996.50/x
  3. Step 3: Cross multiply
    409,880.25x = 880,996.50 × 880,996.50
  4. Step 4: Simplify right side
    409,880.25x = 776,154,833,012.25
  5. Step 5: Solve for x
    x = 776,154,833,012.25/409,880.25
  6. Step 6: Final answer
    x = 1,893,613.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.