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Finding the Third Proportional to 296,945 and 692,996

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Solution

The third proportional to 296,945 and 692,996 is: 1,617,280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,945 : 692,996 = 692,996 : x
  2. Step 2: Convert to fraction form
    296,945/692,996 = 692,996/x
  3. Step 3: Cross multiply
    296,945x = 692,996 × 692,996
  4. Step 4: Simplify right side
    296,945x = 480,243,456,016
  5. Step 5: Solve for x
    x = 480,243,456,016/296,945
  6. Step 6: Final answer
    x = 1,617,280.83

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.