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Finding the Third Proportional to 400,045.50 and 866,794.50

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Solution

The third proportional to 400,045.50 and 866,794.50 is: 1,878,118.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,045.50 : 866,794.50 = 866,794.50 : x
  2. Step 2: Convert to fraction form
    400,045.50/866,794.50 = 866,794.50/x
  3. Step 3: Cross multiply
    400,045.50x = 866,794.50 × 866,794.50
  4. Step 4: Simplify right side
    400,045.50x = 751,332,705,230.25
  5. Step 5: Solve for x
    x = 751,332,705,230.25/400,045.50
  6. Step 6: Final answer
    x = 1,878,118.13

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Why These Related Problems?

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