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Finding the Third Proportional to 318,168 and 692,604

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Solution

The third proportional to 318,168 and 692,604 is: 1,507,694.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,168 : 692,604 = 692,604 : x
  2. Step 2: Convert to fraction form
    318,168/692,604 = 692,604/x
  3. Step 3: Cross multiply
    318,168x = 692,604 × 692,604
  4. Step 4: Simplify right side
    318,168x = 479,700,300,816
  5. Step 5: Solve for x
    x = 479,700,300,816/318,168
  6. Step 6: Final answer
    x = 1,507,694.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.