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Finding the Third Proportional to 310,100 and 669,768

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Solution

The third proportional to 310,100 and 669,768 is: 1,446,595.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,100 : 669,768 = 669,768 : x
  2. Step 2: Convert to fraction form
    310,100/669,768 = 669,768/x
  3. Step 3: Cross multiply
    310,100x = 669,768 × 669,768
  4. Step 4: Simplify right side
    310,100x = 448,589,173,824
  5. Step 5: Solve for x
    x = 448,589,173,824/310,100
  6. Step 6: Final answer
    x = 1,446,595.21

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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.