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Finding the Third Proportional to 375,912 and 810,506.25

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Solution

The third proportional to 375,912 and 810,506.25 is: 1,747,537.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,912 : 810,506.25 = 810,506.25 : x
  2. Step 2: Convert to fraction form
    375,912/810,506.25 = 810,506.25/x
  3. Step 3: Cross multiply
    375,912x = 810,506.25 × 810,506.25
  4. Step 4: Simplify right side
    375,912x = 656,920,381,289.06
  5. Step 5: Solve for x
    x = 656,920,381,289.06/375,912
  6. Step 6: Final answer
    x = 1,747,537.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.