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Finding the Third Proportional to 377,544 and 571,152

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Solution

The third proportional to 377,544 and 571,152 is: 864,043.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,544 : 571,152 = 571,152 : x
  2. Step 2: Convert to fraction form
    377,544/571,152 = 571,152/x
  3. Step 3: Cross multiply
    377,544x = 571,152 × 571,152
  4. Step 4: Simplify right side
    377,544x = 326,214,607,104
  5. Step 5: Solve for x
    x = 326,214,607,104/377,544
  6. Step 6: Final answer
    x = 864,043.94

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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.