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Finding the Third Proportional to 386,196.19 and 807,683.06

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Solution

The third proportional to 386,196.19 and 807,683.06 is: 1,689,172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,196.19 : 807,683.06 = 807,683.06 : x
  2. Step 2: Convert to fraction form
    386,196.19/807,683.06 = 807,683.06/x
  3. Step 3: Cross multiply
    386,196.19x = 807,683.06 × 807,683.06
  4. Step 4: Simplify right side
    386,196.19x = 652,351,929,449.38
  5. Step 5: Solve for x
    x = 652,351,929,449.38/386,196.19
  6. Step 6: Final answer
    x = 1,689,172.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.