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Finding the Third Proportional to 384,816 and 562,328

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Solution

The third proportional to 384,816 and 562,328 is: 821,724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,816 : 562,328 = 562,328 : x
  2. Step 2: Convert to fraction form
    384,816/562,328 = 562,328/x
  3. Step 3: Cross multiply
    384,816x = 562,328 × 562,328
  4. Step 4: Simplify right side
    384,816x = 316,212,779,584
  5. Step 5: Solve for x
    x = 316,212,779,584/384,816
  6. Step 6: Final answer
    x = 821,724.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.