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Finding the Third Proportional to 580,763.25 and 879,886.13

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Solution

The third proportional to 580,763.25 and 879,886.13 is: 1,333,072.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,763.25 : 879,886.13 = 879,886.13 : x
  2. Step 2: Convert to fraction form
    580,763.25/879,886.13 = 879,886.13/x
  3. Step 3: Cross multiply
    580,763.25x = 879,886.13 × 879,886.13
  4. Step 4: Simplify right side
    580,763.25x = 774,199,592,967.52
  5. Step 5: Solve for x
    x = 774,199,592,967.52/580,763.25
  6. Step 6: Final answer
    x = 1,333,072.63

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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.