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Finding the Third Proportional to 404,939.25 and 876,946.50

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Solution

The third proportional to 404,939.25 and 876,946.50 is: 1,899,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,939.25 : 876,946.50 = 876,946.50 : x
  2. Step 2: Convert to fraction form
    404,939.25/876,946.50 = 876,946.50/x
  3. Step 3: Cross multiply
    404,939.25x = 876,946.50 × 876,946.50
  4. Step 4: Simplify right side
    404,939.25x = 769,035,163,862.25
  5. Step 5: Solve for x
    x = 769,035,163,862.25/404,939.25
  6. Step 6: Final answer
    x = 1,899,137.13

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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.