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Finding the Third Proportional to 304,566 and 701,943

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Solution

The third proportional to 304,566 and 701,943 is: 1,617,790.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,566 : 701,943 = 701,943 : x
  2. Step 2: Convert to fraction form
    304,566/701,943 = 701,943/x
  3. Step 3: Cross multiply
    304,566x = 701,943 × 701,943
  4. Step 4: Simplify right side
    304,566x = 492,723,975,249
  5. Step 5: Solve for x
    x = 492,723,975,249/304,566
  6. Step 6: Final answer
    x = 1,617,790.48

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.