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Finding the Third Proportional to 241,249 and 514,560

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Solution

The third proportional to 241,249 and 514,560 is: 1,097,505.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,249 : 514,560 = 514,560 : x
  2. Step 2: Convert to fraction form
    241,249/514,560 = 514,560/x
  3. Step 3: Cross multiply
    241,249x = 514,560 × 514,560
  4. Step 4: Simplify right side
    241,249x = 264,771,993,600
  5. Step 5: Solve for x
    x = 264,771,993,600/241,249
  6. Step 6: Final answer
    x = 1,097,505.04

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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.