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Finding the Third Proportional to 816,601.50 and 877,837.50

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Solution

The third proportional to 816,601.50 and 877,837.50 is: 943,665.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,601.50 : 877,837.50 = 877,837.50 : x
  2. Step 2: Convert to fraction form
    816,601.50/877,837.50 = 877,837.50/x
  3. Step 3: Cross multiply
    816,601.50x = 877,837.50 × 877,837.50
  4. Step 4: Simplify right side
    816,601.50x = 770,598,676,406.25
  5. Step 5: Solve for x
    x = 770,598,676,406.25/816,601.50
  6. Step 6: Final answer
    x = 943,665.52

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.