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Finding the Third Proportional to 320,708 and 692,806

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Solution

The third proportional to 320,708 and 692,806 is: 1,496,626.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,708 : 692,806 = 692,806 : x
  2. Step 2: Convert to fraction form
    320,708/692,806 = 692,806/x
  3. Step 3: Cross multiply
    320,708x = 692,806 × 692,806
  4. Step 4: Simplify right side
    320,708x = 479,980,153,636
  5. Step 5: Solve for x
    x = 479,980,153,636/320,708
  6. Step 6: Final answer
    x = 1,496,626.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.