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Finding the Third Proportional to 280,341 and 597,380.06

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Solution

The third proportional to 280,341 and 597,380.06 is: 1,272,960.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,341 : 597,380.06 = 597,380.06 : x
  2. Step 2: Convert to fraction form
    280,341/597,380.06 = 597,380.06/x
  3. Step 3: Cross multiply
    280,341x = 597,380.06 × 597,380.06
  4. Step 4: Simplify right side
    280,341x = 356,862,939,072.50
  5. Step 5: Solve for x
    x = 356,862,939,072.50/280,341
  6. Step 6: Final answer
    x = 1,272,960.21

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.