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Finding the Third Proportional to 580,956 and 880,128

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Solution

The third proportional to 580,956 and 880,128 is: 1,333,363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,956 : 880,128 = 880,128 : x
  2. Step 2: Convert to fraction form
    580,956/880,128 = 880,128/x
  3. Step 3: Cross multiply
    580,956x = 880,128 × 880,128
  4. Step 4: Simplify right side
    580,956x = 774,625,296,384
  5. Step 5: Solve for x
    x = 774,625,296,384/580,956
  6. Step 6: Final answer
    x = 1,333,363.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.