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Finding the Third Proportional to 343,271.50 and 747,569

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Solution

The third proportional to 343,271.50 and 747,569 is: 1,628,039.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,271.50 : 747,569 = 747,569 : x
  2. Step 2: Convert to fraction form
    343,271.50/747,569 = 747,569/x
  3. Step 3: Cross multiply
    343,271.50x = 747,569 × 747,569
  4. Step 4: Simplify right side
    343,271.50x = 558,859,409,761
  5. Step 5: Solve for x
    x = 558,859,409,761/343,271.50
  6. Step 6: Final answer
    x = 1,628,039.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.