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Finding the Third Proportional to 360,046 and 787,898

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Solution

The third proportional to 360,046 and 787,898 is: 1,724,177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,046 : 787,898 = 787,898 : x
  2. Step 2: Convert to fraction form
    360,046/787,898 = 787,898/x
  3. Step 3: Cross multiply
    360,046x = 787,898 × 787,898
  4. Step 4: Simplify right side
    360,046x = 620,783,258,404
  5. Step 5: Solve for x
    x = 620,783,258,404/360,046
  6. Step 6: Final answer
    x = 1,724,177.63

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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.