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Finding the Third Proportional to 320,722 and 692,292

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Solution

The third proportional to 320,722 and 692,292 is: 1,494,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,722 : 692,292 = 692,292 : x
  2. Step 2: Convert to fraction form
    320,722/692,292 = 692,292/x
  3. Step 3: Cross multiply
    320,722x = 692,292 × 692,292
  4. Step 4: Simplify right side
    320,722x = 479,268,213,264
  5. Step 5: Solve for x
    x = 479,268,213,264/320,722
  6. Step 6: Final answer
    x = 1,494,341.56

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Why These Related Problems?

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