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Finding the Third Proportional to 351,924.75 and 766,705.50

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Solution

The third proportional to 351,924.75 and 766,705.50 is: 1,670,349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,924.75 : 766,705.50 = 766,705.50 : x
  2. Step 2: Convert to fraction form
    351,924.75/766,705.50 = 766,705.50/x
  3. Step 3: Cross multiply
    351,924.75x = 766,705.50 × 766,705.50
  4. Step 4: Simplify right side
    351,924.75x = 587,837,323,730.25
  5. Step 5: Solve for x
    x = 587,837,323,730.25/351,924.75
  6. Step 6: Final answer
    x = 1,670,349.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.