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Finding the Third Proportional to 291,257 and 441,396

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Solution

The third proportional to 291,257 and 441,396 is: 668,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,257 : 441,396 = 441,396 : x
  2. Step 2: Convert to fraction form
    291,257/441,396 = 441,396/x
  3. Step 3: Cross multiply
    291,257x = 441,396 × 441,396
  4. Step 4: Simplify right side
    291,257x = 194,830,428,816
  5. Step 5: Solve for x
    x = 194,830,428,816/291,257
  6. Step 6: Final answer
    x = 668,929.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.