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Finding the Third Proportional to 655,362.14 and 885,436.31

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Solution

The third proportional to 655,362.14 and 885,436.31 is: 1,196,281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,362.14 : 885,436.31 = 885,436.31 : x
  2. Step 2: Convert to fraction form
    655,362.14/885,436.31 = 885,436.31/x
  3. Step 3: Cross multiply
    655,362.14x = 885,436.31 × 885,436.31
  4. Step 4: Simplify right side
    655,362.14x = 783,997,463,493.60
  5. Step 5: Solve for x
    x = 783,997,463,493.60/655,362.14
  6. Step 6: Final answer
    x = 1,196,281.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.