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Finding the Third Proportional to 278,684 and 602,080

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Solution

The third proportional to 278,684 and 602,080 is: 1,300,757.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,684 : 602,080 = 602,080 : x
  2. Step 2: Convert to fraction form
    278,684/602,080 = 602,080/x
  3. Step 3: Cross multiply
    278,684x = 602,080 × 602,080
  4. Step 4: Simplify right side
    278,684x = 362,500,326,400
  5. Step 5: Solve for x
    x = 362,500,326,400/278,684
  6. Step 6: Final answer
    x = 1,300,757.58

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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.