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Finding the Third Proportional to 293,322 and 418,650

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Solution

The third proportional to 293,322 and 418,650 is: 597,527.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,322 : 418,650 = 418,650 : x
  2. Step 2: Convert to fraction form
    293,322/418,650 = 418,650/x
  3. Step 3: Cross multiply
    293,322x = 418,650 × 418,650
  4. Step 4: Simplify right side
    293,322x = 175,267,822,500
  5. Step 5: Solve for x
    x = 175,267,822,500/293,322
  6. Step 6: Final answer
    x = 597,527.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.