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Finding the Third Proportional to 302,464.69 and 464,271.75

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Solution

The third proportional to 302,464.69 and 464,271.75 is: 712,639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,464.69 : 464,271.75 = 464,271.75 : x
  2. Step 2: Convert to fraction form
    302,464.69/464,271.75 = 464,271.75/x
  3. Step 3: Cross multiply
    302,464.69x = 464,271.75 × 464,271.75
  4. Step 4: Simplify right side
    302,464.69x = 215,548,257,848.06
  5. Step 5: Solve for x
    x = 215,548,257,848.06/302,464.69
  6. Step 6: Final answer
    x = 712,639.41

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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.