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Finding the Third Proportional to 706,333.50 and 906,943.50

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Solution

The third proportional to 706,333.50 and 906,943.50 is: 1,164,529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,333.50 : 906,943.50 = 906,943.50 : x
  2. Step 2: Convert to fraction form
    706,333.50/906,943.50 = 906,943.50/x
  3. Step 3: Cross multiply
    706,333.50x = 906,943.50 × 906,943.50
  4. Step 4: Simplify right side
    706,333.50x = 822,546,512,192.25
  5. Step 5: Solve for x
    x = 822,546,512,192.25/706,333.50
  6. Step 6: Final answer
    x = 1,164,529.95

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.