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Finding the Third Proportional to 334,196 and 502,892

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Solution

The third proportional to 334,196 and 502,892 is: 756,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,196 : 502,892 = 502,892 : x
  2. Step 2: Convert to fraction form
    334,196/502,892 = 502,892/x
  3. Step 3: Cross multiply
    334,196x = 502,892 × 502,892
  4. Step 4: Simplify right side
    334,196x = 252,900,363,664
  5. Step 5: Solve for x
    x = 252,900,363,664/334,196
  6. Step 6: Final answer
    x = 756,742.64

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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.