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Finding the Third Proportional to 471,982 and 707,838

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Solution

The third proportional to 471,982 and 707,838 is: 1,061,554.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,982 : 707,838 = 707,838 : x
  2. Step 2: Convert to fraction form
    471,982/707,838 = 707,838/x
  3. Step 3: Cross multiply
    471,982x = 707,838 × 707,838
  4. Step 4: Simplify right side
    471,982x = 501,034,634,244
  5. Step 5: Solve for x
    x = 501,034,634,244/471,982
  6. Step 6: Final answer
    x = 1,061,554.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.