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Finding the Third Proportional to 366,786 and 803,556

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Solution

The third proportional to 366,786 and 803,556 is: 1,760,433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,786 : 803,556 = 803,556 : x
  2. Step 2: Convert to fraction form
    366,786/803,556 = 803,556/x
  3. Step 3: Cross multiply
    366,786x = 803,556 × 803,556
  4. Step 4: Simplify right side
    366,786x = 645,702,245,136
  5. Step 5: Solve for x
    x = 645,702,245,136/366,786
  6. Step 6: Final answer
    x = 1,760,433.18

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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.