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Finding the Third Proportional to 366,802 and 803,584

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Solution

The third proportional to 366,802 and 803,584 is: 1,760,479.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,802 : 803,584 = 803,584 : x
  2. Step 2: Convert to fraction form
    366,802/803,584 = 803,584/x
  3. Step 3: Cross multiply
    366,802x = 803,584 × 803,584
  4. Step 4: Simplify right side
    366,802x = 645,747,245,056
  5. Step 5: Solve for x
    x = 645,747,245,056/366,802
  6. Step 6: Final answer
    x = 1,760,479.07

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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.