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Finding the Third Proportional to 302,404 and 446,710

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Solution

The third proportional to 302,404 and 446,710 is: 659,878.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,404 : 446,710 = 446,710 : x
  2. Step 2: Convert to fraction form
    302,404/446,710 = 446,710/x
  3. Step 3: Cross multiply
    302,404x = 446,710 × 446,710
  4. Step 4: Simplify right side
    302,404x = 199,549,824,100
  5. Step 5: Solve for x
    x = 199,549,824,100/302,404
  6. Step 6: Final answer
    x = 659,878.26

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.