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Finding the Third Proportional to 356,627 and 743,143

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Solution

The third proportional to 356,627 and 743,143 is: 1,548,569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,627 : 743,143 = 743,143 : x
  2. Step 2: Convert to fraction form
    356,627/743,143 = 743,143/x
  3. Step 3: Cross multiply
    356,627x = 743,143 × 743,143
  4. Step 4: Simplify right side
    356,627x = 552,261,518,449
  5. Step 5: Solve for x
    x = 552,261,518,449/356,627
  6. Step 6: Final answer
    x = 1,548,569.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.