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Finding the Third Proportional to 334,812 and 496,426

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Solution

The third proportional to 334,812 and 496,426 is: 736,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,812 : 496,426 = 496,426 : x
  2. Step 2: Convert to fraction form
    334,812/496,426 = 496,426/x
  3. Step 3: Cross multiply
    334,812x = 496,426 × 496,426
  4. Step 4: Simplify right side
    334,812x = 246,438,773,476
  5. Step 5: Solve for x
    x = 246,438,773,476/334,812
  6. Step 6: Final answer
    x = 736,051.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.