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Finding the Third Proportional to 442,039 and 675,746

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Solution

The third proportional to 442,039 and 675,746 is: 1,033,014.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,039 : 675,746 = 675,746 : x
  2. Step 2: Convert to fraction form
    442,039/675,746 = 675,746/x
  3. Step 3: Cross multiply
    442,039x = 675,746 × 675,746
  4. Step 4: Simplify right side
    442,039x = 456,632,656,516
  5. Step 5: Solve for x
    x = 456,632,656,516/442,039
  6. Step 6: Final answer
    x = 1,033,014.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.