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Finding the Third Proportional to 323,683.59 and 680,927.77

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Solution

The third proportional to 323,683.59 and 680,927.77 is: 1,432,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,683.59 : 680,927.77 = 680,927.77 : x
  2. Step 2: Convert to fraction form
    323,683.59/680,927.77 = 680,927.77/x
  3. Step 3: Cross multiply
    323,683.59x = 680,927.77 × 680,927.77
  4. Step 4: Simplify right side
    323,683.59x = 463,662,621,999.06
  5. Step 5: Solve for x
    x = 463,662,621,999.06/323,683.59
  6. Step 6: Final answer
    x = 1,432,456.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.