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Finding the Third Proportional to 293,056 and 562,768

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Solution

The third proportional to 293,056 and 562,768 is: 1,080,707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,056 : 562,768 = 562,768 : x
  2. Step 2: Convert to fraction form
    293,056/562,768 = 562,768/x
  3. Step 3: Cross multiply
    293,056x = 562,768 × 562,768
  4. Step 4: Simplify right side
    293,056x = 316,707,821,824
  5. Step 5: Solve for x
    x = 316,707,821,824/293,056
  6. Step 6: Final answer
    x = 1,080,707.52

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.