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Finding the Third Proportional to 320,007 and 700,278

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Solution

The third proportional to 320,007 and 700,278 is: 1,532,432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,007 : 700,278 = 700,278 : x
  2. Step 2: Convert to fraction form
    320,007/700,278 = 700,278/x
  3. Step 3: Cross multiply
    320,007x = 700,278 × 700,278
  4. Step 4: Simplify right side
    320,007x = 490,389,277,284
  5. Step 5: Solve for x
    x = 490,389,277,284/320,007
  6. Step 6: Final answer
    x = 1,532,432.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.