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Finding the Third Proportional to 334,804 and 502,179

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Solution

The third proportional to 334,804 and 502,179 is: 753,228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,804 : 502,179 = 502,179 : x
  2. Step 2: Convert to fraction form
    334,804/502,179 = 502,179/x
  3. Step 3: Cross multiply
    334,804x = 502,179 × 502,179
  4. Step 4: Simplify right side
    334,804x = 252,183,748,041
  5. Step 5: Solve for x
    x = 252,183,748,041/334,804
  6. Step 6: Final answer
    x = 753,228.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.