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Finding the Third Proportional to 241,152 and 504,320

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Solution

The third proportional to 241,152 and 504,320 is: 1,054,681.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,152 : 504,320 = 504,320 : x
  2. Step 2: Convert to fraction form
    241,152/504,320 = 504,320/x
  3. Step 3: Cross multiply
    241,152x = 504,320 × 504,320
  4. Step 4: Simplify right side
    241,152x = 254,338,662,400
  5. Step 5: Solve for x
    x = 254,338,662,400/241,152
  6. Step 6: Final answer
    x = 1,054,681.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.