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Finding the Third Proportional to 610,600 and 898,232

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Solution

The third proportional to 610,600 and 898,232 is: 1,321,357.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,600 : 898,232 = 898,232 : x
  2. Step 2: Convert to fraction form
    610,600/898,232 = 898,232/x
  3. Step 3: Cross multiply
    610,600x = 898,232 × 898,232
  4. Step 4: Simplify right side
    610,600x = 806,820,725,824
  5. Step 5: Solve for x
    x = 806,820,725,824/610,600
  6. Step 6: Final answer
    x = 1,321,357.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.