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Finding the Third Proportional to 579,532.50 and 851,935.50

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Solution

The third proportional to 579,532.50 and 851,935.50 is: 1,252,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,532.50 : 851,935.50 = 851,935.50 : x
  2. Step 2: Convert to fraction form
    579,532.50/851,935.50 = 851,935.50/x
  3. Step 3: Cross multiply
    579,532.50x = 851,935.50 × 851,935.50
  4. Step 4: Simplify right side
    579,532.50x = 725,794,096,160.25
  5. Step 5: Solve for x
    x = 725,794,096,160.25/579,532.50
  6. Step 6: Final answer
    x = 1,252,378.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.