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Finding the Third Proportional to 377,546.06 and 571,809.38

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Solution

The third proportional to 377,546.06 and 571,809.38 is: 866,029.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,546.06 : 571,809.38 = 571,809.38 : x
  2. Step 2: Convert to fraction form
    377,546.06/571,809.38 = 571,809.38/x
  3. Step 3: Cross multiply
    377,546.06x = 571,809.38 × 571,809.38
  4. Step 4: Simplify right side
    377,546.06x = 326,965,961,337.89
  5. Step 5: Solve for x
    x = 326,965,961,337.89/377,546.06
  6. Step 6: Final answer
    x = 866,029.32

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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.