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Finding the Third Proportional to 302,967 and 656,079.75

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Solution

The third proportional to 302,967 and 656,079.75 is: 1,420,750.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,967 : 656,079.75 = 656,079.75 : x
  2. Step 2: Convert to fraction form
    302,967/656,079.75 = 656,079.75/x
  3. Step 3: Cross multiply
    302,967x = 656,079.75 × 656,079.75
  4. Step 4: Simplify right side
    302,967x = 430,440,638,360.06
  5. Step 5: Solve for x
    x = 430,440,638,360.06/302,967
  6. Step 6: Final answer
    x = 1,420,750.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.