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Finding the Third Proportional to 580,960 and 880,134

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Solution

The third proportional to 580,960 and 880,134 is: 1,333,372.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,960 : 880,134 = 880,134 : x
  2. Step 2: Convert to fraction form
    580,960/880,134 = 880,134/x
  3. Step 3: Cross multiply
    580,960x = 880,134 × 880,134
  4. Step 4: Simplify right side
    580,960x = 774,635,857,956
  5. Step 5: Solve for x
    x = 774,635,857,956/580,960
  6. Step 6: Final answer
    x = 1,333,372.10

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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.