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Finding the Third Proportional to 698,431.50 and 1,524,802.50

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Solution

The third proportional to 698,431.50 and 1,524,802.50 is: 3,328,920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,431.50 : 1,524,802.50 = 1,524,802.50 : x
  2. Step 2: Convert to fraction form
    698,431.50/1,524,802.50 = 1,524,802.50/x
  3. Step 3: Cross multiply
    698,431.50x = 1,524,802.50 × 1,524,802.50
  4. Step 4: Simplify right side
    698,431.50x = 2,325,022,664,006.25
  5. Step 5: Solve for x
    x = 2,325,022,664,006.25/698,431.50
  6. Step 6: Final answer
    x = 3,328,920.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.