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Finding the Third Proportional to 280,533 and 600,459

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Solution

The third proportional to 280,533 and 600,459 is: 1,285,235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,533 : 600,459 = 600,459 : x
  2. Step 2: Convert to fraction form
    280,533/600,459 = 600,459/x
  3. Step 3: Cross multiply
    280,533x = 600,459 × 600,459
  4. Step 4: Simplify right side
    280,533x = 360,551,010,681
  5. Step 5: Solve for x
    x = 360,551,010,681/280,533
  6. Step 6: Final answer
    x = 1,285,235.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.