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Finding the Third Proportional to 607,299 and 965,016

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Solution

The third proportional to 607,299 and 965,016 is: 1,533,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,299 : 965,016 = 965,016 : x
  2. Step 2: Convert to fraction form
    607,299/965,016 = 965,016/x
  3. Step 3: Cross multiply
    607,299x = 965,016 × 965,016
  4. Step 4: Simplify right side
    607,299x = 931,255,880,256
  5. Step 5: Solve for x
    x = 931,255,880,256/607,299
  6. Step 6: Final answer
    x = 1,533,438.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.