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Finding the Third Proportional to 706,173 and 906,706.50

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Solution

The third proportional to 706,173 and 906,706.50 is: 1,164,185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,173 : 906,706.50 = 906,706.50 : x
  2. Step 2: Convert to fraction form
    706,173/906,706.50 = 906,706.50/x
  3. Step 3: Cross multiply
    706,173x = 906,706.50 × 906,706.50
  4. Step 4: Simplify right side
    706,173x = 822,116,677,142.25
  5. Step 5: Solve for x
    x = 822,116,677,142.25/706,173
  6. Step 6: Final answer
    x = 1,164,185.94

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