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Finding the Third Proportional to 379,553 and 571,829

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Solution

The third proportional to 379,553 and 571,829 is: 861,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,553 : 571,829 = 571,829 : x
  2. Step 2: Convert to fraction form
    379,553/571,829 = 571,829/x
  3. Step 3: Cross multiply
    379,553x = 571,829 × 571,829
  4. Step 4: Simplify right side
    379,553x = 326,988,405,241
  5. Step 5: Solve for x
    x = 326,988,405,241/379,553
  6. Step 6: Final answer
    x = 861,509.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.