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Finding the Third Proportional to 241,281 and 476,507

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Solution

The third proportional to 241,281 and 476,507 is: 941,055.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,281 : 476,507 = 476,507 : x
  2. Step 2: Convert to fraction form
    241,281/476,507 = 476,507/x
  3. Step 3: Cross multiply
    241,281x = 476,507 × 476,507
  4. Step 4: Simplify right side
    241,281x = 227,058,921,049
  5. Step 5: Solve for x
    x = 227,058,921,049/241,281
  6. Step 6: Final answer
    x = 941,055.95

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.