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Finding the Third Proportional to 344,628 and 744,606

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Solution

The third proportional to 344,628 and 744,606 is: 1,608,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,628 : 744,606 = 744,606 : x
  2. Step 2: Convert to fraction form
    344,628/744,606 = 744,606/x
  3. Step 3: Cross multiply
    344,628x = 744,606 × 744,606
  4. Step 4: Simplify right side
    344,628x = 554,438,095,236
  5. Step 5: Solve for x
    x = 554,438,095,236/344,628
  6. Step 6: Final answer
    x = 1,608,801.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.