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Finding the Third Proportional to 404,506.13 and 898,800.75

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Solution

The third proportional to 404,506.13 and 898,800.75 is: 1,997,108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,506.13 : 898,800.75 = 898,800.75 : x
  2. Step 2: Convert to fraction form
    404,506.13/898,800.75 = 898,800.75/x
  3. Step 3: Cross multiply
    404,506.13x = 898,800.75 × 898,800.75
  4. Step 4: Simplify right side
    404,506.13x = 807,842,788,200.56
  5. Step 5: Solve for x
    x = 807,842,788,200.56/404,506.13
  6. Step 6: Final answer
    x = 1,997,108.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.