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Finding the Third Proportional to 382,466 and 562,564

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Solution

The third proportional to 382,466 and 562,564 is: 827,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,466 : 562,564 = 562,564 : x
  2. Step 2: Convert to fraction form
    382,466/562,564 = 562,564/x
  3. Step 3: Cross multiply
    382,466x = 562,564 × 562,564
  4. Step 4: Simplify right side
    382,466x = 316,478,254,096
  5. Step 5: Solve for x
    x = 316,478,254,096/382,466
  6. Step 6: Final answer
    x = 827,467.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.