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Finding the Third Proportional to 369,036 and 807,084

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Solution

The third proportional to 369,036 and 807,084 is: 1,765,097.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,036 : 807,084 = 807,084 : x
  2. Step 2: Convert to fraction form
    369,036/807,084 = 807,084/x
  3. Step 3: Cross multiply
    369,036x = 807,084 × 807,084
  4. Step 4: Simplify right side
    369,036x = 651,384,583,056
  5. Step 5: Solve for x
    x = 651,384,583,056/369,036
  6. Step 6: Final answer
    x = 1,765,097.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.