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Finding the Third Proportional to 280,020 and 601,573.50

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Solution

The third proportional to 280,020 and 601,573.50 is: 1,292,374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,020 : 601,573.50 = 601,573.50 : x
  2. Step 2: Convert to fraction form
    280,020/601,573.50 = 601,573.50/x
  3. Step 3: Cross multiply
    280,020x = 601,573.50 × 601,573.50
  4. Step 4: Simplify right side
    280,020x = 361,890,675,902.25
  5. Step 5: Solve for x
    x = 361,890,675,902.25/280,020
  6. Step 6: Final answer
    x = 1,292,374.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.