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Finding the Third Proportional to 280,509.75 and 596,031.75

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Solution

The third proportional to 280,509.75 and 596,031.75 is: 1,266,458.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,509.75 : 596,031.75 = 596,031.75 : x
  2. Step 2: Convert to fraction form
    280,509.75/596,031.75 = 596,031.75/x
  3. Step 3: Cross multiply
    280,509.75x = 596,031.75 × 596,031.75
  4. Step 4: Simplify right side
    280,509.75x = 355,253,847,008.06
  5. Step 5: Solve for x
    x = 355,253,847,008.06/280,509.75
  6. Step 6: Final answer
    x = 1,266,458.11

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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.