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Finding the Third Proportional to 442,000 and 967,588

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Solution

The third proportional to 442,000 and 967,588 is: 2,118,159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,000 : 967,588 = 967,588 : x
  2. Step 2: Convert to fraction form
    442,000/967,588 = 967,588/x
  3. Step 3: Cross multiply
    442,000x = 967,588 × 967,588
  4. Step 4: Simplify right side
    442,000x = 936,226,537,744
  5. Step 5: Solve for x
    x = 936,226,537,744/442,000
  6. Step 6: Final answer
    x = 2,118,159.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.