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Finding the Third Proportional to 302,022 and 362,712

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Solution

The third proportional to 302,022 and 362,712 is: 435,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,022 : 362,712 = 362,712 : x
  2. Step 2: Convert to fraction form
    302,022/362,712 = 362,712/x
  3. Step 3: Cross multiply
    302,022x = 362,712 × 362,712
  4. Step 4: Simplify right side
    302,022x = 131,559,994,944
  5. Step 5: Solve for x
    x = 131,559,994,944/302,022
  6. Step 6: Final answer
    x = 435,597.39

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.