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Finding the Third Proportional to 382,000 and 830,430

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Solution

The third proportional to 382,000 and 830,430 is: 1,805,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,000 : 830,430 = 830,430 : x
  2. Step 2: Convert to fraction form
    382,000/830,430 = 830,430/x
  3. Step 3: Cross multiply
    382,000x = 830,430 × 830,430
  4. Step 4: Simplify right side
    382,000x = 689,613,984,900
  5. Step 5: Solve for x
    x = 689,613,984,900/382,000
  6. Step 6: Final answer
    x = 1,805,272.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.