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Finding the Third Proportional to 377,352 and 557,388

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Solution

The third proportional to 377,352 and 557,388 is: 823,319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,352 : 557,388 = 557,388 : x
  2. Step 2: Convert to fraction form
    377,352/557,388 = 557,388/x
  3. Step 3: Cross multiply
    377,352x = 557,388 × 557,388
  4. Step 4: Simplify right side
    377,352x = 310,681,382,544
  5. Step 5: Solve for x
    x = 310,681,382,544/377,352
  6. Step 6: Final answer
    x = 823,319.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.