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Finding the Third Proportional to 362,349 and 532,867.50

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Solution

The third proportional to 362,349 and 532,867.50 is: 783,630.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,349 : 532,867.50 = 532,867.50 : x
  2. Step 2: Convert to fraction form
    362,349/532,867.50 = 532,867.50/x
  3. Step 3: Cross multiply
    362,349x = 532,867.50 × 532,867.50
  4. Step 4: Simplify right side
    362,349x = 283,947,772,556.25
  5. Step 5: Solve for x
    x = 283,947,772,556.25/362,349
  6. Step 6: Final answer
    x = 783,630.62

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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.