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Finding the Third Proportional to 653,605.50 and 999,219.75

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Solution

The third proportional to 653,605.50 and 999,219.75 is: 1,527,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,605.50 : 999,219.75 = 999,219.75 : x
  2. Step 2: Convert to fraction form
    653,605.50/999,219.75 = 999,219.75/x
  3. Step 3: Cross multiply
    653,605.50x = 999,219.75 × 999,219.75
  4. Step 4: Simplify right side
    653,605.50x = 998,440,108,790.06
  5. Step 5: Solve for x
    x = 998,440,108,790.06/653,605.50
  6. Step 6: Final answer
    x = 1,527,588.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.