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Finding the Third Proportional to 334,902 and 502,414.50

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Solution

The third proportional to 334,902 and 502,414.50 is: 753,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,902 : 502,414.50 = 502,414.50 : x
  2. Step 2: Convert to fraction form
    334,902/502,414.50 = 502,414.50/x
  3. Step 3: Cross multiply
    334,902x = 502,414.50 × 502,414.50
  4. Step 4: Simplify right side
    334,902x = 252,420,329,810.25
  5. Step 5: Solve for x
    x = 252,420,329,810.25/334,902
  6. Step 6: Final answer
    x = 753,714.01

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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.