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Finding the Third Proportional to 280,725.75 and 597,759.75

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Solution

The third proportional to 280,725.75 and 597,759.75 is: 1,272,832.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,725.75 : 597,759.75 = 597,759.75 : x
  2. Step 2: Convert to fraction form
    280,725.75/597,759.75 = 597,759.75/x
  3. Step 3: Cross multiply
    280,725.75x = 597,759.75 × 597,759.75
  4. Step 4: Simplify right side
    280,725.75x = 357,316,718,720.06
  5. Step 5: Solve for x
    x = 357,316,718,720.06/280,725.75
  6. Step 6: Final answer
    x = 1,272,832.00

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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.