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Finding the Third Proportional to 451,570.50 and 699,592.50

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Solution

The third proportional to 451,570.50 and 699,592.50 is: 1,083,838.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,570.50 : 699,592.50 = 699,592.50 : x
  2. Step 2: Convert to fraction form
    451,570.50/699,592.50 = 699,592.50/x
  3. Step 3: Cross multiply
    451,570.50x = 699,592.50 × 699,592.50
  4. Step 4: Simplify right side
    451,570.50x = 489,429,666,056.25
  5. Step 5: Solve for x
    x = 489,429,666,056.25/451,570.50
  6. Step 6: Final answer
    x = 1,083,838.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.