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Finding the Third Proportional to 310,092 and 669,752

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Solution

The third proportional to 310,092 and 669,752 is: 1,446,563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,092 : 669,752 = 669,752 : x
  2. Step 2: Convert to fraction form
    310,092/669,752 = 669,752/x
  3. Step 3: Cross multiply
    310,092x = 669,752 × 669,752
  4. Step 4: Simplify right side
    310,092x = 448,567,741,504
  5. Step 5: Solve for x
    x = 448,567,741,504/310,092
  6. Step 6: Final answer
    x = 1,446,563.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.