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Finding the Third Proportional to 200,421 and 322,353

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Solution

The third proportional to 200,421 and 322,353 is: 518,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,421 : 322,353 = 322,353 : x
  2. Step 2: Convert to fraction form
    200,421/322,353 = 322,353/x
  3. Step 3: Cross multiply
    200,421x = 322,353 × 322,353
  4. Step 4: Simplify right side
    200,421x = 103,911,456,609
  5. Step 5: Solve for x
    x = 103,911,456,609/200,421
  6. Step 6: Final answer
    x = 518,465.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.