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Finding the Third Proportional to 302,322 and 437,029

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Solution

The third proportional to 302,322 and 437,029 is: 631,758.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,322 : 437,029 = 437,029 : x
  2. Step 2: Convert to fraction form
    302,322/437,029 = 437,029/x
  3. Step 3: Cross multiply
    302,322x = 437,029 × 437,029
  4. Step 4: Simplify right side
    302,322x = 190,994,346,841
  5. Step 5: Solve for x
    x = 190,994,346,841/302,322
  6. Step 6: Final answer
    x = 631,758.02

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.