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Finding the Third Proportional to 310,066 and 669,703

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Solution

The third proportional to 310,066 and 669,703 is: 1,446,473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,066 : 669,703 = 669,703 : x
  2. Step 2: Convert to fraction form
    310,066/669,703 = 669,703/x
  3. Step 3: Cross multiply
    310,066x = 669,703 × 669,703
  4. Step 4: Simplify right side
    310,066x = 448,502,108,209
  5. Step 5: Solve for x
    x = 448,502,108,209/310,066
  6. Step 6: Final answer
    x = 1,446,473.04

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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.