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Finding the Third Proportional to 362,807 and 847,217

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Solution

The third proportional to 362,807 and 847,217 is: 1,978,398.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,807 : 847,217 = 847,217 : x
  2. Step 2: Convert to fraction form
    362,807/847,217 = 847,217/x
  3. Step 3: Cross multiply
    362,807x = 847,217 × 847,217
  4. Step 4: Simplify right side
    362,807x = 717,776,645,089
  5. Step 5: Solve for x
    x = 717,776,645,089/362,807
  6. Step 6: Final answer
    x = 1,978,398.01

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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.