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Finding the Third Proportional to 282,786 and 414,675

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Solution

The third proportional to 282,786 and 414,675 is: 608,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,786 : 414,675 = 414,675 : x
  2. Step 2: Convert to fraction form
    282,786/414,675 = 414,675/x
  3. Step 3: Cross multiply
    282,786x = 414,675 × 414,675
  4. Step 4: Simplify right side
    282,786x = 171,955,355,625
  5. Step 5: Solve for x
    x = 171,955,355,625/282,786
  6. Step 6: Final answer
    x = 608,075.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.