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Finding the Third Proportional to 344,709 and 744,768

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Solution

The third proportional to 344,709 and 744,768 is: 1,609,123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,709 : 744,768 = 744,768 : x
  2. Step 2: Convert to fraction form
    344,709/744,768 = 744,768/x
  3. Step 3: Cross multiply
    344,709x = 744,768 × 744,768
  4. Step 4: Simplify right side
    344,709x = 554,679,373,824
  5. Step 5: Solve for x
    x = 554,679,373,824/344,709
  6. Step 6: Final answer
    x = 1,609,123.56

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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.