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Finding the Third Proportional to 278,716 and 602,152

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Solution

The third proportional to 278,716 and 602,152 is: 1,300,919.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,716 : 602,152 = 602,152 : x
  2. Step 2: Convert to fraction form
    278,716/602,152 = 602,152/x
  3. Step 3: Cross multiply
    278,716x = 602,152 × 602,152
  4. Step 4: Simplify right side
    278,716x = 362,587,031,104
  5. Step 5: Solve for x
    x = 362,587,031,104/278,716
  6. Step 6: Final answer
    x = 1,300,919.33

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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.