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Finding the Third Proportional to 366,800 and 803,580

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Solution

The third proportional to 366,800 and 803,580 is: 1,760,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,800 : 803,580 = 803,580 : x
  2. Step 2: Convert to fraction form
    366,800/803,580 = 803,580/x
  3. Step 3: Cross multiply
    366,800x = 803,580 × 803,580
  4. Step 4: Simplify right side
    366,800x = 645,740,816,400
  5. Step 5: Solve for x
    x = 645,740,816,400/366,800
  6. Step 6: Final answer
    x = 1,760,471.15

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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.