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Finding the Third Proportional to 698,735.50 and 1,058,583

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Solution

The third proportional to 698,735.50 and 1,058,583 is: 1,603,751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,735.50 : 1,058,583 = 1,058,583 : x
  2. Step 2: Convert to fraction form
    698,735.50/1,058,583 = 1,058,583/x
  3. Step 3: Cross multiply
    698,735.50x = 1,058,583 × 1,058,583
  4. Step 4: Simplify right side
    698,735.50x = 1,120,597,967,889
  5. Step 5: Solve for x
    x = 1,120,597,967,889/698,735.50
  6. Step 6: Final answer
    x = 1,603,751.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.