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Finding the Third Proportional to 601,574 and 802,782

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Solution

The third proportional to 601,574 and 802,782 is: 1,071,287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,574 : 802,782 = 802,782 : x
  2. Step 2: Convert to fraction form
    601,574/802,782 = 802,782/x
  3. Step 3: Cross multiply
    601,574x = 802,782 × 802,782
  4. Step 4: Simplify right side
    601,574x = 644,458,939,524
  5. Step 5: Solve for x
    x = 644,458,939,524/601,574
  6. Step 6: Final answer
    x = 1,071,287.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.