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Finding the Third Proportional to 375,316 and 580,925

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Solution

The third proportional to 375,316 and 580,925 is: 899,172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,316 : 580,925 = 580,925 : x
  2. Step 2: Convert to fraction form
    375,316/580,925 = 580,925/x
  3. Step 3: Cross multiply
    375,316x = 580,925 × 580,925
  4. Step 4: Simplify right side
    375,316x = 337,473,855,625
  5. Step 5: Solve for x
    x = 337,473,855,625/375,316
  6. Step 6: Final answer
    x = 899,172.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.