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Finding the Third Proportional to 401,968.13 and 882,664.31

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Solution

The third proportional to 401,968.13 and 882,664.31 is: 1,938,204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,968.13 : 882,664.31 = 882,664.31 : x
  2. Step 2: Convert to fraction form
    401,968.13/882,664.31 = 882,664.31/x
  3. Step 3: Cross multiply
    401,968.13x = 882,664.31 × 882,664.31
  4. Step 4: Simplify right side
    401,968.13x = 779,096,288,561.10
  5. Step 5: Solve for x
    x = 779,096,288,561.10/401,968.13
  6. Step 6: Final answer
    x = 1,938,204.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.