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Finding the Third Proportional to 175,594 and 379,556

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Solution

The third proportional to 175,594 and 379,556 is: 820,430.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,594 : 379,556 = 379,556 : x
  2. Step 2: Convert to fraction form
    175,594/379,556 = 379,556/x
  3. Step 3: Cross multiply
    175,594x = 379,556 × 379,556
  4. Step 4: Simplify right side
    175,594x = 144,062,757,136
  5. Step 5: Solve for x
    x = 144,062,757,136/175,594
  6. Step 6: Final answer
    x = 820,430.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.