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Finding the Third Proportional to 507,296 and 786,592

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Solution

The third proportional to 507,296 and 786,592 is: 1,219,656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,296 : 786,592 = 786,592 : x
  2. Step 2: Convert to fraction form
    507,296/786,592 = 786,592/x
  3. Step 3: Cross multiply
    507,296x = 786,592 × 786,592
  4. Step 4: Simplify right side
    507,296x = 618,726,974,464
  5. Step 5: Solve for x
    x = 618,726,974,464/507,296
  6. Step 6: Final answer
    x = 1,219,656.72

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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.