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Finding the Third Proportional to 321,282 and 678,732

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Solution

The third proportional to 321,282 and 678,732 is: 1,433,871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,282 : 678,732 = 678,732 : x
  2. Step 2: Convert to fraction form
    321,282/678,732 = 678,732/x
  3. Step 3: Cross multiply
    321,282x = 678,732 × 678,732
  4. Step 4: Simplify right side
    321,282x = 460,677,127,824
  5. Step 5: Solve for x
    x = 460,677,127,824/321,282
  6. Step 6: Final answer
    x = 1,433,871.58

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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.