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Finding the Third Proportional to 507,262.50 and 783,219.38

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Solution

The third proportional to 507,262.50 and 783,219.38 is: 1,209,300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,262.50 : 783,219.38 = 783,219.38 : x
  2. Step 2: Convert to fraction form
    507,262.50/783,219.38 = 783,219.38/x
  3. Step 3: Cross multiply
    507,262.50x = 783,219.38 × 783,219.38
  4. Step 4: Simplify right side
    507,262.50x = 613,432,589,375.39
  5. Step 5: Solve for x
    x = 613,432,589,375.39/507,262.50
  6. Step 6: Final answer
    x = 1,209,300.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.