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Finding the Third Proportional to 302,956.77 and 460,729.90

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Solution

The third proportional to 302,956.77 and 460,729.90 is: 700,667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,956.77 : 460,729.90 = 460,729.90 : x
  2. Step 2: Convert to fraction form
    302,956.77/460,729.90 = 460,729.90/x
  3. Step 3: Cross multiply
    302,956.77x = 460,729.90 × 460,729.90
  4. Step 4: Simplify right side
    302,956.77x = 212,272,039,314.23
  5. Step 5: Solve for x
    x = 212,272,039,314.23/302,956.77
  6. Step 6: Final answer
    x = 700,667.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.