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Finding the Third Proportional to 352,218 and 754,236

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Solution

The third proportional to 352,218 and 754,236 is: 1,615,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,218 : 754,236 = 754,236 : x
  2. Step 2: Convert to fraction form
    352,218/754,236 = 754,236/x
  3. Step 3: Cross multiply
    352,218x = 754,236 × 754,236
  4. Step 4: Simplify right side
    352,218x = 568,871,943,696
  5. Step 5: Solve for x
    x = 568,871,943,696/352,218
  6. Step 6: Final answer
    x = 1,615,113.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.