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Finding the Third Proportional to 241,248 and 514,557

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Solution

The third proportional to 241,248 and 514,557 is: 1,097,496.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,248 : 514,557 = 514,557 : x
  2. Step 2: Convert to fraction form
    241,248/514,557 = 514,557/x
  3. Step 3: Cross multiply
    241,248x = 514,557 × 514,557
  4. Step 4: Simplify right side
    241,248x = 264,768,906,249
  5. Step 5: Solve for x
    x = 264,768,906,249/241,248
  6. Step 6: Final answer
    x = 1,097,496.79

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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.