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Finding the Third Proportional to 710,116 and 998,825

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Solution

The third proportional to 710,116 and 998,825 is: 1,404,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,116 : 998,825 = 998,825 : x
  2. Step 2: Convert to fraction form
    710,116/998,825 = 998,825/x
  3. Step 3: Cross multiply
    710,116x = 998,825 × 998,825
  4. Step 4: Simplify right side
    710,116x = 997,651,380,625
  5. Step 5: Solve for x
    x = 997,651,380,625/710,116
  6. Step 6: Final answer
    x = 1,404,913.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.