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Finding the Third Proportional to 210,369 and 459,294

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Solution

The third proportional to 210,369 and 459,294 is: 1,002,766.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,369 : 459,294 = 459,294 : x
  2. Step 2: Convert to fraction form
    210,369/459,294 = 459,294/x
  3. Step 3: Cross multiply
    210,369x = 459,294 × 459,294
  4. Step 4: Simplify right side
    210,369x = 210,950,978,436
  5. Step 5: Solve for x
    x = 210,950,978,436/210,369
  6. Step 6: Final answer
    x = 1,002,766.46

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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.