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Finding the Third Proportional to 280,952 and 594,944

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Solution

The third proportional to 280,952 and 594,944 is: 1,259,853.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,952 : 594,944 = 594,944 : x
  2. Step 2: Convert to fraction form
    280,952/594,944 = 594,944/x
  3. Step 3: Cross multiply
    280,952x = 594,944 × 594,944
  4. Step 4: Simplify right side
    280,952x = 353,958,363,136
  5. Step 5: Solve for x
    x = 353,958,363,136/280,952
  6. Step 6: Final answer
    x = 1,259,853.51

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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.