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Finding the Third Proportional to 366,780 and 803,544

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Solution

The third proportional to 366,780 and 803,544 is: 1,760,409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,780 : 803,544 = 803,544 : x
  2. Step 2: Convert to fraction form
    366,780/803,544 = 803,544/x
  3. Step 3: Cross multiply
    366,780x = 803,544 × 803,544
  4. Step 4: Simplify right side
    366,780x = 645,682,959,936
  5. Step 5: Solve for x
    x = 645,682,959,936/366,780
  6. Step 6: Final answer
    x = 1,760,409.40

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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.