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Finding the Third Proportional to 344,786 and 742,060

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Solution

The third proportional to 344,786 and 742,060 is: 1,597,086.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,786 : 742,060 = 742,060 : x
  2. Step 2: Convert to fraction form
    344,786/742,060 = 742,060/x
  3. Step 3: Cross multiply
    344,786x = 742,060 × 742,060
  4. Step 4: Simplify right side
    344,786x = 550,653,043,600
  5. Step 5: Solve for x
    x = 550,653,043,600/344,786
  6. Step 6: Final answer
    x = 1,597,086.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.