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Finding the Third Proportional to 470,048 and 706,112

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Solution

The third proportional to 470,048 and 706,112 is: 1,060,730.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,048 : 706,112 = 706,112 : x
  2. Step 2: Convert to fraction form
    470,048/706,112 = 706,112/x
  3. Step 3: Cross multiply
    470,048x = 706,112 × 706,112
  4. Step 4: Simplify right side
    470,048x = 498,594,156,544
  5. Step 5: Solve for x
    x = 498,594,156,544/470,048
  6. Step 6: Final answer
    x = 1,060,730.30

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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.