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Finding the Third Proportional to 340,038 and 794,205

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Solution

The third proportional to 340,038 and 794,205 is: 1,854,973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,038 : 794,205 = 794,205 : x
  2. Step 2: Convert to fraction form
    340,038/794,205 = 794,205/x
  3. Step 3: Cross multiply
    340,038x = 794,205 × 794,205
  4. Step 4: Simplify right side
    340,038x = 630,761,582,025
  5. Step 5: Solve for x
    x = 630,761,582,025/340,038
  6. Step 6: Final answer
    x = 1,854,973.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.