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Finding the Third Proportional to 344,030 and 505,929

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Solution

The third proportional to 344,030 and 505,929 is: 744,016.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,030 : 505,929 = 505,929 : x
  2. Step 2: Convert to fraction form
    344,030/505,929 = 505,929/x
  3. Step 3: Cross multiply
    344,030x = 505,929 × 505,929
  4. Step 4: Simplify right side
    344,030x = 255,964,153,041
  5. Step 5: Solve for x
    x = 255,964,153,041/344,030
  6. Step 6: Final answer
    x = 744,016.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.