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Finding the Third Proportional to 638,584 and 929,796

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Solution

The third proportional to 638,584 and 929,796 is: 1,353,808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,584 : 929,796 = 929,796 : x
  2. Step 2: Convert to fraction form
    638,584/929,796 = 929,796/x
  3. Step 3: Cross multiply
    638,584x = 929,796 × 929,796
  4. Step 4: Simplify right side
    638,584x = 864,520,601,616
  5. Step 5: Solve for x
    x = 864,520,601,616/638,584
  6. Step 6: Final answer
    x = 1,353,808.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.