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Finding the Third Proportional to 508,379.50 and 1,107,180

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Solution

The third proportional to 508,379.50 and 1,107,180 is: 2,411,284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,379.50 : 1,107,180 = 1,107,180 : x
  2. Step 2: Convert to fraction form
    508,379.50/1,107,180 = 1,107,180/x
  3. Step 3: Cross multiply
    508,379.50x = 1,107,180 × 1,107,180
  4. Step 4: Simplify right side
    508,379.50x = 1,225,847,552,400
  5. Step 5: Solve for x
    x = 1,225,847,552,400/508,379.50
  6. Step 6: Final answer
    x = 2,411,284.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.