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Finding the Third Proportional to 366,786 and 777,730

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Solution

The third proportional to 366,786 and 777,730 is: 1,649,092.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,786 : 777,730 = 777,730 : x
  2. Step 2: Convert to fraction form
    366,786/777,730 = 777,730/x
  3. Step 3: Cross multiply
    366,786x = 777,730 × 777,730
  4. Step 4: Simplify right side
    366,786x = 604,863,952,900
  5. Step 5: Solve for x
    x = 604,863,952,900/366,786
  6. Step 6: Final answer
    x = 1,649,092.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.