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Finding the Third Proportional to 334,865 and 510,159

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Solution

The third proportional to 334,865 and 510,159 is: 777,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,865 : 510,159 = 510,159 : x
  2. Step 2: Convert to fraction form
    334,865/510,159 = 510,159/x
  3. Step 3: Cross multiply
    334,865x = 510,159 × 510,159
  4. Step 4: Simplify right side
    334,865x = 260,262,205,281
  5. Step 5: Solve for x
    x = 260,262,205,281/334,865
  6. Step 6: Final answer
    x = 777,215.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.