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Finding the Third Proportional to 210,728 and 459,328

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Solution

The third proportional to 210,728 and 459,328 is: 1,001,206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,728 : 459,328 = 459,328 : x
  2. Step 2: Convert to fraction form
    210,728/459,328 = 459,328/x
  3. Step 3: Cross multiply
    210,728x = 459,328 × 459,328
  4. Step 4: Simplify right side
    210,728x = 210,982,211,584
  5. Step 5: Solve for x
    x = 210,982,211,584/210,728
  6. Step 6: Final answer
    x = 1,001,206.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.