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Finding the Third Proportional to 308,097 and 460,080

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Solution

The third proportional to 308,097 and 460,080 is: 687,035.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,097 : 460,080 = 460,080 : x
  2. Step 2: Convert to fraction form
    308,097/460,080 = 460,080/x
  3. Step 3: Cross multiply
    308,097x = 460,080 × 460,080
  4. Step 4: Simplify right side
    308,097x = 211,673,606,400
  5. Step 5: Solve for x
    x = 211,673,606,400/308,097
  6. Step 6: Final answer
    x = 687,035.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.