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Finding the Third Proportional to 278,698.50 and 602,109

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Solution

The third proportional to 278,698.50 and 602,109 is: 1,300,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,698.50 : 602,109 = 602,109 : x
  2. Step 2: Convert to fraction form
    278,698.50/602,109 = 602,109/x
  3. Step 3: Cross multiply
    278,698.50x = 602,109 × 602,109
  4. Step 4: Simplify right side
    278,698.50x = 362,535,247,881
  5. Step 5: Solve for x
    x = 362,535,247,881/278,698.50
  6. Step 6: Final answer
    x = 1,300,815.21

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