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Finding the Third Proportional to 366,982 and 803,900

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Solution

The third proportional to 366,982 and 803,900 is: 1,760,999.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,982 : 803,900 = 803,900 : x
  2. Step 2: Convert to fraction form
    366,982/803,900 = 803,900/x
  3. Step 3: Cross multiply
    366,982x = 803,900 × 803,900
  4. Step 4: Simplify right side
    366,982x = 646,255,210,000
  5. Step 5: Solve for x
    x = 646,255,210,000/366,982
  6. Step 6: Final answer
    x = 1,760,999.75

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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.