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Finding the Third Proportional to 707,883.50 and 1,533,865

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Solution

The third proportional to 707,883.50 and 1,533,865 is: 3,323,628.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,883.50 : 1,533,865 = 1,533,865 : x
  2. Step 2: Convert to fraction form
    707,883.50/1,533,865 = 1,533,865/x
  3. Step 3: Cross multiply
    707,883.50x = 1,533,865 × 1,533,865
  4. Step 4: Simplify right side
    707,883.50x = 2,352,741,838,225
  5. Step 5: Solve for x
    x = 2,352,741,838,225/707,883.50
  6. Step 6: Final answer
    x = 3,323,628.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.