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Finding the Third Proportional to 706,351.50 and 1,008,778.50

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Solution

The third proportional to 706,351.50 and 1,008,778.50 is: 1,440,690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,351.50 : 1,008,778.50 = 1,008,778.50 : x
  2. Step 2: Convert to fraction form
    706,351.50/1,008,778.50 = 1,008,778.50/x
  3. Step 3: Cross multiply
    706,351.50x = 1,008,778.50 × 1,008,778.50
  4. Step 4: Simplify right side
    706,351.50x = 1,017,634,062,062.25
  5. Step 5: Solve for x
    x = 1,017,634,062,062.25/706,351.50
  6. Step 6: Final answer
    x = 1,440,690.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.