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Finding the Third Proportional to 344,520 and 738,852

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Solution

The third proportional to 344,520 and 738,852 is: 1,584,530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,520 : 738,852 = 738,852 : x
  2. Step 2: Convert to fraction form
    344,520/738,852 = 738,852/x
  3. Step 3: Cross multiply
    344,520x = 738,852 × 738,852
  4. Step 4: Simplify right side
    344,520x = 545,902,277,904
  5. Step 5: Solve for x
    x = 545,902,277,904/344,520
  6. Step 6: Final answer
    x = 1,584,530.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.