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Finding the Third Proportional to 229,041 and 514,377

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Solution

The third proportional to 229,041 and 514,377 is: 1,155,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,041 : 514,377 = 514,377 : x
  2. Step 2: Convert to fraction form
    229,041/514,377 = 514,377/x
  3. Step 3: Cross multiply
    229,041x = 514,377 × 514,377
  4. Step 4: Simplify right side
    229,041x = 264,583,698,129
  5. Step 5: Solve for x
    x = 264,583,698,129/229,041
  6. Step 6: Final answer
    x = 1,155,180.51

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.