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Finding the Third Proportional to 343,422.50 and 744,013

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Solution

The third proportional to 343,422.50 and 744,013 is: 1,611,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,422.50 : 744,013 = 744,013 : x
  2. Step 2: Convert to fraction form
    343,422.50/744,013 = 744,013/x
  3. Step 3: Cross multiply
    343,422.50x = 744,013 × 744,013
  4. Step 4: Simplify right side
    343,422.50x = 553,555,344,169
  5. Step 5: Solve for x
    x = 553,555,344,169/343,422.50
  6. Step 6: Final answer
    x = 1,611,878.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.