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Finding the Third Proportional to 688,641 and 923,611.50

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Solution

The third proportional to 688,641 and 923,611.50 is: 1,238,756.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,641 : 923,611.50 = 923,611.50 : x
  2. Step 2: Convert to fraction form
    688,641/923,611.50 = 923,611.50/x
  3. Step 3: Cross multiply
    688,641x = 923,611.50 × 923,611.50
  4. Step 4: Simplify right side
    688,641x = 853,058,202,932.25
  5. Step 5: Solve for x
    x = 853,058,202,932.25/688,641
  6. Step 6: Final answer
    x = 1,238,756.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.