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Finding the Third Proportional to 377,050 and 808,074

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Solution

The third proportional to 377,050 and 808,074 is: 1,731,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,050 : 808,074 = 808,074 : x
  2. Step 2: Convert to fraction form
    377,050/808,074 = 808,074/x
  3. Step 3: Cross multiply
    377,050x = 808,074 × 808,074
  4. Step 4: Simplify right side
    377,050x = 652,983,589,476
  5. Step 5: Solve for x
    x = 652,983,589,476/377,050
  6. Step 6: Final answer
    x = 1,731,822.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.