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Finding the Third Proportional to 241,364 and 514,777

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Solution

The third proportional to 241,364 and 514,777 is: 1,097,907.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,364 : 514,777 = 514,777 : x
  2. Step 2: Convert to fraction form
    241,364/514,777 = 514,777/x
  3. Step 3: Cross multiply
    241,364x = 514,777 × 514,777
  4. Step 4: Simplify right side
    241,364x = 264,995,359,729
  5. Step 5: Solve for x
    x = 264,995,359,729/241,364
  6. Step 6: Final answer
    x = 1,097,907.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.