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Finding the Third Proportional to 388,841.50 and 808,722

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Solution

The third proportional to 388,841.50 and 808,722 is: 1,681,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,841.50 : 808,722 = 808,722 : x
  2. Step 2: Convert to fraction form
    388,841.50/808,722 = 808,722/x
  3. Step 3: Cross multiply
    388,841.50x = 808,722 × 808,722
  4. Step 4: Simplify right side
    388,841.50x = 654,031,273,284
  5. Step 5: Solve for x
    x = 654,031,273,284/388,841.50
  6. Step 6: Final answer
    x = 1,681,999.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.