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Finding the Third Proportional to 601,580 and 802,791

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Solution

The third proportional to 601,580 and 802,791 is: 1,071,301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,580 : 802,791 = 802,791 : x
  2. Step 2: Convert to fraction form
    601,580/802,791 = 802,791/x
  3. Step 3: Cross multiply
    601,580x = 802,791 × 802,791
  4. Step 4: Simplify right side
    601,580x = 644,473,389,681
  5. Step 5: Solve for x
    x = 644,473,389,681/601,580
  6. Step 6: Final answer
    x = 1,071,301.22

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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.