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Finding the Third Proportional to 366,790 and 803,564

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Solution

The third proportional to 366,790 and 803,564 is: 1,760,449.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,790 : 803,564 = 803,564 : x
  2. Step 2: Convert to fraction form
    366,790/803,564 = 803,564/x
  3. Step 3: Cross multiply
    366,790x = 803,564 × 803,564
  4. Step 4: Simplify right side
    366,790x = 645,715,102,096
  5. Step 5: Solve for x
    x = 645,715,102,096/366,790
  6. Step 6: Final answer
    x = 1,760,449.04

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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.