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Finding the Third Proportional to 300,034.13 and 464,271.75

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Solution

The third proportional to 300,034.13 and 464,271.75 is: 718,412.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,034.13 : 464,271.75 = 464,271.75 : x
  2. Step 2: Convert to fraction form
    300,034.13/464,271.75 = 464,271.75/x
  3. Step 3: Cross multiply
    300,034.13x = 464,271.75 × 464,271.75
  4. Step 4: Simplify right side
    300,034.13x = 215,548,257,848.06
  5. Step 5: Solve for x
    x = 215,548,257,848.06/300,034.13
  6. Step 6: Final answer
    x = 718,412.47

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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.