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Finding the Third Proportional to 319,806 and 704,004

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Solution

The third proportional to 319,806 and 704,004 is: 1,549,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,806 : 704,004 = 704,004 : x
  2. Step 2: Convert to fraction form
    319,806/704,004 = 704,004/x
  3. Step 3: Cross multiply
    319,806x = 704,004 × 704,004
  4. Step 4: Simplify right side
    319,806x = 495,621,632,016
  5. Step 5: Solve for x
    x = 495,621,632,016/319,806
  6. Step 6: Final answer
    x = 1,549,757.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.