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Finding the Third Proportional to 479,652 and 692,955

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Solution

The third proportional to 479,652 and 692,955 is: 1,001,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,652 : 692,955 = 692,955 : x
  2. Step 2: Convert to fraction form
    479,652/692,955 = 692,955/x
  3. Step 3: Cross multiply
    479,652x = 692,955 × 692,955
  4. Step 4: Simplify right side
    479,652x = 480,186,632,025
  5. Step 5: Solve for x
    x = 480,186,632,025/479,652
  6. Step 6: Final answer
    x = 1,001,114.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.