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Finding the Third Proportional to 371,940 and 805,692

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Solution

The third proportional to 371,940 and 805,692 is: 1,745,280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,940 : 805,692 = 805,692 : x
  2. Step 2: Convert to fraction form
    371,940/805,692 = 805,692/x
  3. Step 3: Cross multiply
    371,940x = 805,692 × 805,692
  4. Step 4: Simplify right side
    371,940x = 649,139,598,864
  5. Step 5: Solve for x
    x = 649,139,598,864/371,940
  6. Step 6: Final answer
    x = 1,745,280.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.