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Finding the Third Proportional to 470,040 and 706,104

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Solution

The third proportional to 470,040 and 706,104 is: 1,060,724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,040 : 706,104 = 706,104 : x
  2. Step 2: Convert to fraction form
    470,040/706,104 = 706,104/x
  3. Step 3: Cross multiply
    470,040x = 706,104 × 706,104
  4. Step 4: Simplify right side
    470,040x = 498,582,858,816
  5. Step 5: Solve for x
    x = 498,582,858,816/470,040
  6. Step 6: Final answer
    x = 1,060,724.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.