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Finding the Third Proportional to 279,079 and 445,547

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Solution

The third proportional to 279,079 and 445,547 is: 711,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,079 : 445,547 = 445,547 : x
  2. Step 2: Convert to fraction form
    279,079/445,547 = 445,547/x
  3. Step 3: Cross multiply
    279,079x = 445,547 × 445,547
  4. Step 4: Simplify right side
    279,079x = 198,512,129,209
  5. Step 5: Solve for x
    x = 198,512,129,209/279,079
  6. Step 6: Final answer
    x = 711,311.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.