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Finding the Third Proportional to 366,962 and 583,796

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Solution

The third proportional to 366,962 and 583,796 is: 928,754.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,962 : 583,796 = 583,796 : x
  2. Step 2: Convert to fraction form
    366,962/583,796 = 583,796/x
  3. Step 3: Cross multiply
    366,962x = 583,796 × 583,796
  4. Step 4: Simplify right side
    366,962x = 340,817,769,616
  5. Step 5: Solve for x
    x = 340,817,769,616/366,962
  6. Step 6: Final answer
    x = 928,754.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.