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Finding the Third Proportional to 357,588.50 and 744,571

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Solution

The third proportional to 357,588.50 and 744,571 is: 1,550,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,588.50 : 744,571 = 744,571 : x
  2. Step 2: Convert to fraction form
    357,588.50/744,571 = 744,571/x
  3. Step 3: Cross multiply
    357,588.50x = 744,571 × 744,571
  4. Step 4: Simplify right side
    357,588.50x = 554,385,974,041
  5. Step 5: Solve for x
    x = 554,385,974,041/357,588.50
  6. Step 6: Final answer
    x = 1,550,346.21

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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.