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Finding the Third Proportional to 344,028 and 729,852

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Solution

The third proportional to 344,028 and 729,852 is: 1,548,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,028 : 729,852 = 729,852 : x
  2. Step 2: Convert to fraction form
    344,028/729,852 = 729,852/x
  3. Step 3: Cross multiply
    344,028x = 729,852 × 729,852
  4. Step 4: Simplify right side
    344,028x = 532,683,941,904
  5. Step 5: Solve for x
    x = 532,683,941,904/344,028
  6. Step 6: Final answer
    x = 1,548,373.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.