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Finding the Third Proportional to 406,358 and 959,330

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Solution

The third proportional to 406,358 and 959,330 is: 2,264,786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,358 : 959,330 = 959,330 : x
  2. Step 2: Convert to fraction form
    406,358/959,330 = 959,330/x
  3. Step 3: Cross multiply
    406,358x = 959,330 × 959,330
  4. Step 4: Simplify right side
    406,358x = 920,314,048,900
  5. Step 5: Solve for x
    x = 920,314,048,900/406,358
  6. Step 6: Final answer
    x = 2,264,786.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.