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Finding the Third Proportional to 278,786 and 602,116

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Solution

The third proportional to 278,786 and 602,116 is: 1,300,437.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,786 : 602,116 = 602,116 : x
  2. Step 2: Convert to fraction form
    278,786/602,116 = 602,116/x
  3. Step 3: Cross multiply
    278,786x = 602,116 × 602,116
  4. Step 4: Simplify right side
    278,786x = 362,543,677,456
  5. Step 5: Solve for x
    x = 362,543,677,456/278,786
  6. Step 6: Final answer
    x = 1,300,437.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.