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Finding the Third Proportional to 310,460 and 679,036

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Solution

The third proportional to 310,460 and 679,036 is: 1,485,182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,460 : 679,036 = 679,036 : x
  2. Step 2: Convert to fraction form
    310,460/679,036 = 679,036/x
  3. Step 3: Cross multiply
    310,460x = 679,036 × 679,036
  4. Step 4: Simplify right side
    310,460x = 461,089,889,296
  5. Step 5: Solve for x
    x = 461,089,889,296/310,460
  6. Step 6: Final answer
    x = 1,485,182.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.