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Finding the Third Proportional to 344,371.78 and 804,166.10

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Solution

The third proportional to 344,371.78 and 804,166.10 is: 1,877,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,371.78 : 804,166.10 = 804,166.10 : x
  2. Step 2: Convert to fraction form
    344,371.78/804,166.10 = 804,166.10/x
  3. Step 3: Cross multiply
    344,371.78x = 804,166.10 × 804,166.10
  4. Step 4: Simplify right side
    344,371.78x = 646,683,118,902.23
  5. Step 5: Solve for x
    x = 646,683,118,902.23/344,371.78
  6. Step 6: Final answer
    x = 1,877,863.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.