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Finding the Third Proportional to 467,328 and 700,208

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Solution

The third proportional to 467,328 and 700,208 is: 1,049,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,328 : 700,208 = 700,208 : x
  2. Step 2: Convert to fraction form
    467,328/700,208 = 700,208/x
  3. Step 3: Cross multiply
    467,328x = 700,208 × 700,208
  4. Step 4: Simplify right side
    467,328x = 490,291,243,264
  5. Step 5: Solve for x
    x = 490,291,243,264/467,328
  6. Step 6: Final answer
    x = 1,049,137.32

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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.