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Finding the Third Proportional to 383,316 and 590,966

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Solution

The third proportional to 383,316 and 590,966 is: 911,104.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,316 : 590,966 = 590,966 : x
  2. Step 2: Convert to fraction form
    383,316/590,966 = 590,966/x
  3. Step 3: Cross multiply
    383,316x = 590,966 × 590,966
  4. Step 4: Simplify right side
    383,316x = 349,240,813,156
  5. Step 5: Solve for x
    x = 349,240,813,156/383,316
  6. Step 6: Final answer
    x = 911,104.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.