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Finding the Third Proportional to 700,683.75 and 998,524.13

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Solution

The third proportional to 700,683.75 and 998,524.13 is: 1,422,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,683.75 : 998,524.13 = 998,524.13 : x
  2. Step 2: Convert to fraction form
    700,683.75/998,524.13 = 998,524.13/x
  3. Step 3: Cross multiply
    700,683.75x = 998,524.13 × 998,524.13
  4. Step 4: Simplify right side
    700,683.75x = 997,050,428,207.02
  5. Step 5: Solve for x
    x = 997,050,428,207.02/700,683.75
  6. Step 6: Final answer
    x = 1,422,967.82

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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.