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Finding the Third Proportional to 580,786 and 879,933

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Solution

The third proportional to 580,786 and 879,933 is: 1,333,162.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,786 : 879,933 = 879,933 : x
  2. Step 2: Convert to fraction form
    580,786/879,933 = 879,933/x
  3. Step 3: Cross multiply
    580,786x = 879,933 × 879,933
  4. Step 4: Simplify right side
    580,786x = 774,282,084,489
  5. Step 5: Solve for x
    x = 774,282,084,489/580,786
  6. Step 6: Final answer
    x = 1,333,162.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.