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Finding the Third Proportional to 295,496 and 401,772

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Solution

The third proportional to 295,496 and 401,772 is: 546,270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,496 : 401,772 = 401,772 : x
  2. Step 2: Convert to fraction form
    295,496/401,772 = 401,772/x
  3. Step 3: Cross multiply
    295,496x = 401,772 × 401,772
  4. Step 4: Simplify right side
    295,496x = 161,420,739,984
  5. Step 5: Solve for x
    x = 161,420,739,984/295,496
  6. Step 6: Final answer
    x = 546,270.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.