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Finding the Third Proportional to 303,851 and 662,371

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Solution

The third proportional to 303,851 and 662,371 is: 1,443,916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,851 : 662,371 = 662,371 : x
  2. Step 2: Convert to fraction form
    303,851/662,371 = 662,371/x
  3. Step 3: Cross multiply
    303,851x = 662,371 × 662,371
  4. Step 4: Simplify right side
    303,851x = 438,735,341,641
  5. Step 5: Solve for x
    x = 438,735,341,641/303,851
  6. Step 6: Final answer
    x = 1,443,916.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.