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Finding the Third Proportional to 641,521 and 998,002.50

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Solution

The third proportional to 641,521 and 998,002.50 is: 1,552,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,521 : 998,002.50 = 998,002.50 : x
  2. Step 2: Convert to fraction form
    641,521/998,002.50 = 998,002.50/x
  3. Step 3: Cross multiply
    641,521x = 998,002.50 × 998,002.50
  4. Step 4: Simplify right side
    641,521x = 996,008,990,006.25
  5. Step 5: Solve for x
    x = 996,008,990,006.25/641,521
  6. Step 6: Final answer
    x = 1,552,574.26

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.