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Finding the Third Proportional to 314,598 and 673,686

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Solution

The third proportional to 314,598 and 673,686 is: 1,442,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,598 : 673,686 = 673,686 : x
  2. Step 2: Convert to fraction form
    314,598/673,686 = 673,686/x
  3. Step 3: Cross multiply
    314,598x = 673,686 × 673,686
  4. Step 4: Simplify right side
    314,598x = 453,852,826,596
  5. Step 5: Solve for x
    x = 453,852,826,596/314,598
  6. Step 6: Final answer
    x = 1,442,643.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.