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Finding the Third Proportional to 293,670 and 564,003

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Solution

The third proportional to 293,670 and 564,003 is: 1,083,186.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,670 : 564,003 = 564,003 : x
  2. Step 2: Convert to fraction form
    293,670/564,003 = 564,003/x
  3. Step 3: Cross multiply
    293,670x = 564,003 × 564,003
  4. Step 4: Simplify right side
    293,670x = 318,099,384,009
  5. Step 5: Solve for x
    x = 318,099,384,009/293,670
  6. Step 6: Final answer
    x = 1,083,186.52

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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.