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Finding the Third Proportional to 473,980 and 753,786

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Solution

The third proportional to 473,980 and 753,786 is: 1,198,770.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,980 : 753,786 = 753,786 : x
  2. Step 2: Convert to fraction form
    473,980/753,786 = 753,786/x
  3. Step 3: Cross multiply
    473,980x = 753,786 × 753,786
  4. Step 4: Simplify right side
    473,980x = 568,193,333,796
  5. Step 5: Solve for x
    x = 568,193,333,796/473,980
  6. Step 6: Final answer
    x = 1,198,770.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.