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Finding the Third Proportional to 384,447 and 898,240

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Solution

The third proportional to 384,447 and 898,240 is: 2,098,690.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,447 : 898,240 = 898,240 : x
  2. Step 2: Convert to fraction form
    384,447/898,240 = 898,240/x
  3. Step 3: Cross multiply
    384,447x = 898,240 × 898,240
  4. Step 4: Simplify right side
    384,447x = 806,835,097,600
  5. Step 5: Solve for x
    x = 806,835,097,600/384,447
  6. Step 6: Final answer
    x = 2,098,690.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.