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Finding the Third Proportional to 609,700.50 and 857,830.50

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Solution

The third proportional to 609,700.50 and 857,830.50 is: 1,206,942.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,700.50 : 857,830.50 = 857,830.50 : x
  2. Step 2: Convert to fraction form
    609,700.50/857,830.50 = 857,830.50/x
  3. Step 3: Cross multiply
    609,700.50x = 857,830.50 × 857,830.50
  4. Step 4: Simplify right side
    609,700.50x = 735,873,166,730.25
  5. Step 5: Solve for x
    x = 735,873,166,730.25/609,700.50
  6. Step 6: Final answer
    x = 1,206,942.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.