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Finding the Third Proportional to 302,024 and 362,714

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Solution

The third proportional to 302,024 and 362,714 is: 435,599.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,024 : 362,714 = 362,714 : x
  2. Step 2: Convert to fraction form
    302,024/362,714 = 362,714/x
  3. Step 3: Cross multiply
    302,024x = 362,714 × 362,714
  4. Step 4: Simplify right side
    302,024x = 131,561,445,796
  5. Step 5: Solve for x
    x = 131,561,445,796/302,024
  6. Step 6: Final answer
    x = 435,599.31

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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.