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Finding the Third Proportional to 334,269.28 and 502,992.91

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Solution

The third proportional to 334,269.28 and 502,992.91 is: 756,880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,269.28 : 502,992.91 = 502,992.91 : x
  2. Step 2: Convert to fraction form
    334,269.28/502,992.91 = 502,992.91/x
  3. Step 3: Cross multiply
    334,269.28x = 502,992.91 × 502,992.91
  4. Step 4: Simplify right side
    334,269.28x = 253,001,871,597.09
  5. Step 5: Solve for x
    x = 253,001,871,597.09/334,269.28
  6. Step 6: Final answer
    x = 756,880.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.