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Finding the Third Proportional to 697,909.50 and 1,052,696.25

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Solution

The third proportional to 697,909.50 and 1,052,696.25 is: 1,587,841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,909.50 : 1,052,696.25 = 1,052,696.25 : x
  2. Step 2: Convert to fraction form
    697,909.50/1,052,696.25 = 1,052,696.25/x
  3. Step 3: Cross multiply
    697,909.50x = 1,052,696.25 × 1,052,696.25
  4. Step 4: Simplify right side
    697,909.50x = 1,108,169,394,764.06
  5. Step 5: Solve for x
    x = 1,108,169,394,764.06/697,909.50
  6. Step 6: Final answer
    x = 1,587,841.11

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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.