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Finding the Third Proportional to 302,466.50 and 464,274.25

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Solution

The third proportional to 302,466.50 and 464,274.25 is: 712,642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,466.50 : 464,274.25 = 464,274.25 : x
  2. Step 2: Convert to fraction form
    302,466.50/464,274.25 = 464,274.25/x
  3. Step 3: Cross multiply
    302,466.50x = 464,274.25 × 464,274.25
  4. Step 4: Simplify right side
    302,466.50x = 215,550,579,213.06
  5. Step 5: Solve for x
    x = 215,550,579,213.06/302,466.50
  6. Step 6: Final answer
    x = 712,642.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.