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Finding the Third Proportional to 301,172 and 401,508

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Solution

The third proportional to 301,172 and 401,508 is: 535,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,172 : 401,508 = 401,508 : x
  2. Step 2: Convert to fraction form
    301,172/401,508 = 401,508/x
  3. Step 3: Cross multiply
    301,172x = 401,508 × 401,508
  4. Step 4: Simplify right side
    301,172x = 161,208,674,064
  5. Step 5: Solve for x
    x = 161,208,674,064/301,172
  6. Step 6: Final answer
    x = 535,271.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.