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Finding the Third Proportional to 588,391 and 881,796

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Solution

The third proportional to 588,391 and 881,796 is: 1,321,509.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,391 : 881,796 = 881,796 : x
  2. Step 2: Convert to fraction form
    588,391/881,796 = 881,796/x
  3. Step 3: Cross multiply
    588,391x = 881,796 × 881,796
  4. Step 4: Simplify right side
    588,391x = 777,564,185,616
  5. Step 5: Solve for x
    x = 777,564,185,616/588,391
  6. Step 6: Final answer
    x = 1,321,509.31

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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.