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Finding the Third Proportional to 357,043.50 and 743,679

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Solution

The third proportional to 357,043.50 and 743,679 is: 1,548,994.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,043.50 : 743,679 = 743,679 : x
  2. Step 2: Convert to fraction form
    357,043.50/743,679 = 743,679/x
  3. Step 3: Cross multiply
    357,043.50x = 743,679 × 743,679
  4. Step 4: Simplify right side
    357,043.50x = 553,058,455,041
  5. Step 5: Solve for x
    x = 553,058,455,041/357,043.50
  6. Step 6: Final answer
    x = 1,548,994.60

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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.