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Finding the Third Proportional to 303,364 and 662,024

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Solution

The third proportional to 303,364 and 662,024 is: 1,444,719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,364 : 662,024 = 662,024 : x
  2. Step 2: Convert to fraction form
    303,364/662,024 = 662,024/x
  3. Step 3: Cross multiply
    303,364x = 662,024 × 662,024
  4. Step 4: Simplify right side
    303,364x = 438,275,776,576
  5. Step 5: Solve for x
    x = 438,275,776,576/303,364
  6. Step 6: Final answer
    x = 1,444,719.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.