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Finding the Third Proportional to 366,306 and 760,674

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Solution

The third proportional to 366,306 and 760,674 is: 1,579,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,306 : 760,674 = 760,674 : x
  2. Step 2: Convert to fraction form
    366,306/760,674 = 760,674/x
  3. Step 3: Cross multiply
    366,306x = 760,674 × 760,674
  4. Step 4: Simplify right side
    366,306x = 578,624,934,276
  5. Step 5: Solve for x
    x = 578,624,934,276/366,306
  6. Step 6: Final answer
    x = 1,579,621.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.