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Finding the Third Proportional to 302,321 and 437,027.50

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Solution

The third proportional to 302,321 and 437,027.50 is: 631,755.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,321 : 437,027.50 = 437,027.50 : x
  2. Step 2: Convert to fraction form
    302,321/437,027.50 = 437,027.50/x
  3. Step 3: Cross multiply
    302,321x = 437,027.50 × 437,027.50
  4. Step 4: Simplify right side
    302,321x = 190,993,035,756.25
  5. Step 5: Solve for x
    x = 190,993,035,756.25/302,321
  6. Step 6: Final answer
    x = 631,755.77

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