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Finding the Third Proportional to 373,694 and 537,213

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Solution

The third proportional to 373,694 and 537,213 is: 772,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,694 : 537,213 = 537,213 : x
  2. Step 2: Convert to fraction form
    373,694/537,213 = 537,213/x
  3. Step 3: Cross multiply
    373,694x = 537,213 × 537,213
  4. Step 4: Simplify right side
    373,694x = 288,597,807,369
  5. Step 5: Solve for x
    x = 288,597,807,369/373,694
  6. Step 6: Final answer
    x = 772,283.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.