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Finding the Third Proportional to 467,388 and 685,404

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Solution

The third proportional to 467,388 and 685,404 is: 1,005,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,388 : 685,404 = 685,404 : x
  2. Step 2: Convert to fraction form
    467,388/685,404 = 685,404/x
  3. Step 3: Cross multiply
    467,388x = 685,404 × 685,404
  4. Step 4: Simplify right side
    467,388x = 469,778,643,216
  5. Step 5: Solve for x
    x = 469,778,643,216/467,388
  6. Step 6: Final answer
    x = 1,005,114.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.