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Finding the Third Proportional to 302,967 and 470,448

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Solution

The third proportional to 302,967 and 470,448 is: 730,512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,967 : 470,448 = 470,448 : x
  2. Step 2: Convert to fraction form
    302,967/470,448 = 470,448/x
  3. Step 3: Cross multiply
    302,967x = 470,448 × 470,448
  4. Step 4: Simplify right side
    302,967x = 221,321,320,704
  5. Step 5: Solve for x
    x = 221,321,320,704/302,967
  6. Step 6: Final answer
    x = 730,512.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.