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Finding the Third Proportional to 360,038 and 787,884

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Solution

The third proportional to 360,038 and 787,884 is: 1,724,154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,038 : 787,884 = 787,884 : x
  2. Step 2: Convert to fraction form
    360,038/787,884 = 787,884/x
  3. Step 3: Cross multiply
    360,038x = 787,884 × 787,884
  4. Step 4: Simplify right side
    360,038x = 620,761,197,456
  5. Step 5: Solve for x
    x = 620,761,197,456/360,038
  6. Step 6: Final answer
    x = 1,724,154.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.