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Finding the Third Proportional to 334,056 and 516,636

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Solution

The third proportional to 334,056 and 516,636 is: 799,006.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,056 : 516,636 = 516,636 : x
  2. Step 2: Convert to fraction form
    334,056/516,636 = 516,636/x
  3. Step 3: Cross multiply
    334,056x = 516,636 × 516,636
  4. Step 4: Simplify right side
    334,056x = 266,912,756,496
  5. Step 5: Solve for x
    x = 266,912,756,496/334,056
  6. Step 6: Final answer
    x = 799,006.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.