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Finding the Third Proportional to 377,934 and 577,887

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Solution

The third proportional to 377,934 and 577,887 is: 883,628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,934 : 577,887 = 577,887 : x
  2. Step 2: Convert to fraction form
    377,934/577,887 = 577,887/x
  3. Step 3: Cross multiply
    377,934x = 577,887 × 577,887
  4. Step 4: Simplify right side
    377,934x = 333,953,384,769
  5. Step 5: Solve for x
    x = 333,953,384,769/377,934
  6. Step 6: Final answer
    x = 883,628.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.