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Finding the Third Proportional to 377,304.75 and 569,487.38

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Solution

The third proportional to 377,304.75 and 569,487.38 is: 859,559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,304.75 : 569,487.38 = 569,487.38 : x
  2. Step 2: Convert to fraction form
    377,304.75/569,487.38 = 569,487.38/x
  3. Step 3: Cross multiply
    377,304.75x = 569,487.38 × 569,487.38
  4. Step 4: Simplify right side
    377,304.75x = 324,315,870,284.39
  5. Step 5: Solve for x
    x = 324,315,870,284.39/377,304.75
  6. Step 6: Final answer
    x = 859,559.47

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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.