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Finding the Third Proportional to 706,351.50 and 1,056,705.75

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Solution

The third proportional to 706,351.50 and 1,056,705.75 is: 1,580,837.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,351.50 : 1,056,705.75 = 1,056,705.75 : x
  2. Step 2: Convert to fraction form
    706,351.50/1,056,705.75 = 1,056,705.75/x
  3. Step 3: Cross multiply
    706,351.50x = 1,056,705.75 × 1,056,705.75
  4. Step 4: Simplify right side
    706,351.50x = 1,116,627,042,083.06
  5. Step 5: Solve for x
    x = 1,116,627,042,083.06/706,351.50
  6. Step 6: Final answer
    x = 1,580,837.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.