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Finding the Third Proportional to 440,502 and 669,979

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Solution

The third proportional to 440,502 and 669,979 is: 1,019,000.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,502 : 669,979 = 669,979 : x
  2. Step 2: Convert to fraction form
    440,502/669,979 = 669,979/x
  3. Step 3: Cross multiply
    440,502x = 669,979 × 669,979
  4. Step 4: Simplify right side
    440,502x = 448,871,860,441
  5. Step 5: Solve for x
    x = 448,871,860,441/440,502
  6. Step 6: Final answer
    x = 1,019,000.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.