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Finding the Third Proportional to 323,018 and 452,646

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Solution

The third proportional to 323,018 and 452,646 is: 634,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,018 : 452,646 = 452,646 : x
  2. Step 2: Convert to fraction form
    323,018/452,646 = 452,646/x
  3. Step 3: Cross multiply
    323,018x = 452,646 × 452,646
  4. Step 4: Simplify right side
    323,018x = 204,888,401,316
  5. Step 5: Solve for x
    x = 204,888,401,316/323,018
  6. Step 6: Final answer
    x = 634,294.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.