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Finding the Third Proportional to 389,964 and 851,304

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Solution

The third proportional to 389,964 and 851,304 is: 1,858,424.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,964 : 851,304 = 851,304 : x
  2. Step 2: Convert to fraction form
    389,964/851,304 = 851,304/x
  3. Step 3: Cross multiply
    389,964x = 851,304 × 851,304
  4. Step 4: Simplify right side
    389,964x = 724,718,500,416
  5. Step 5: Solve for x
    x = 724,718,500,416/389,964
  6. Step 6: Final answer
    x = 1,858,424.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.