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Finding the Third Proportional to 366,972 and 773,840

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Solution

The third proportional to 366,972 and 773,840 is: 1,631,809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,972 : 773,840 = 773,840 : x
  2. Step 2: Convert to fraction form
    366,972/773,840 = 773,840/x
  3. Step 3: Cross multiply
    366,972x = 773,840 × 773,840
  4. Step 4: Simplify right side
    366,972x = 598,828,345,600
  5. Step 5: Solve for x
    x = 598,828,345,600/366,972
  6. Step 6: Final answer
    x = 1,631,809.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.