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Finding the Third Proportional to 367,064 and 829,905

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Solution

The third proportional to 367,064 and 829,905 is: 1,876,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,064 : 829,905 = 829,905 : x
  2. Step 2: Convert to fraction form
    367,064/829,905 = 829,905/x
  3. Step 3: Cross multiply
    367,064x = 829,905 × 829,905
  4. Step 4: Simplify right side
    367,064x = 688,742,309,025
  5. Step 5: Solve for x
    x = 688,742,309,025/367,064
  6. Step 6: Final answer
    x = 1,876,354.83

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.