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Finding the Third Proportional to 366,985 and 803,906

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Solution

The third proportional to 366,985 and 803,906 is: 1,761,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,985 : 803,906 = 803,906 : x
  2. Step 2: Convert to fraction form
    366,985/803,906 = 803,906/x
  3. Step 3: Cross multiply
    366,985x = 803,906 × 803,906
  4. Step 4: Simplify right side
    366,985x = 646,264,856,836
  5. Step 5: Solve for x
    x = 646,264,856,836/366,985
  6. Step 6: Final answer
    x = 1,761,011.64

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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.