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Finding the Third Proportional to 278,784 and 602,112

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Solution

The third proportional to 278,784 and 602,112 is: 1,300,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,784 : 602,112 = 602,112 : x
  2. Step 2: Convert to fraction form
    278,784/602,112 = 602,112/x
  3. Step 3: Cross multiply
    278,784x = 602,112 × 602,112
  4. Step 4: Simplify right side
    278,784x = 362,538,860,544
  5. Step 5: Solve for x
    x = 362,538,860,544/278,784
  6. Step 6: Final answer
    x = 1,300,429.22

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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.