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Finding the Third Proportional to 291,235 and 441,363

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Solution

The third proportional to 291,235 and 441,363 is: 668,880.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,235 : 441,363 = 441,363 : x
  2. Step 2: Convert to fraction form
    291,235/441,363 = 441,363/x
  3. Step 3: Cross multiply
    291,235x = 441,363 × 441,363
  4. Step 4: Simplify right side
    291,235x = 194,801,297,769
  5. Step 5: Solve for x
    x = 194,801,297,769/291,235
  6. Step 6: Final answer
    x = 668,880.11

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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.