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Finding the Third Proportional to 377,576.38 and 571,848.50

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Solution

The third proportional to 377,576.38 and 571,848.50 is: 866,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,576.38 : 571,848.50 = 571,848.50 : x
  2. Step 2: Convert to fraction form
    377,576.38/571,848.50 = 571,848.50/x
  3. Step 3: Cross multiply
    377,576.38x = 571,848.50 × 571,848.50
  4. Step 4: Simplify right side
    377,576.38x = 327,010,706,952.25
  5. Step 5: Solve for x
    x = 327,010,706,952.25/377,576.38
  6. Step 6: Final answer
    x = 866,078.31

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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.