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Finding the Third Proportional to 280,510.75 and 596,033.75

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Solution

The third proportional to 280,510.75 and 596,033.75 is: 1,266,462.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,510.75 : 596,033.75 = 596,033.75 : x
  2. Step 2: Convert to fraction form
    280,510.75/596,033.75 = 596,033.75/x
  3. Step 3: Cross multiply
    280,510.75x = 596,033.75 × 596,033.75
  4. Step 4: Simplify right side
    280,510.75x = 355,256,231,139.06
  5. Step 5: Solve for x
    x = 355,256,231,139.06/280,510.75
  6. Step 6: Final answer
    x = 1,266,462.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.