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Finding the Third Proportional to 336,408 and 506,025

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Solution

The third proportional to 336,408 and 506,025 is: 761,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,408 : 506,025 = 506,025 : x
  2. Step 2: Convert to fraction form
    336,408/506,025 = 506,025/x
  3. Step 3: Cross multiply
    336,408x = 506,025 × 506,025
  4. Step 4: Simplify right side
    336,408x = 256,061,300,625
  5. Step 5: Solve for x
    x = 256,061,300,625/336,408
  6. Step 6: Final answer
    x = 761,162.93

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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.