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Finding the Third Proportional to 384,274.13 and 839,899.13

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Solution

The third proportional to 384,274.13 and 839,899.13 is: 1,835,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,274.13 : 839,899.13 = 839,899.13 : x
  2. Step 2: Convert to fraction form
    384,274.13/839,899.13 = 839,899.13/x
  3. Step 3: Cross multiply
    384,274.13x = 839,899.13 × 839,899.13
  4. Step 4: Simplify right side
    384,274.13x = 705,430,540,175.77
  5. Step 5: Solve for x
    x = 705,430,540,175.77/384,274.13
  6. Step 6: Final answer
    x = 1,835,748.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.