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Finding the Third Proportional to 328,846 and 493,314

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Solution

The third proportional to 328,846 and 493,314 is: 740,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,846 : 493,314 = 493,314 : x
  2. Step 2: Convert to fraction form
    328,846/493,314 = 493,314/x
  3. Step 3: Cross multiply
    328,846x = 493,314 × 493,314
  4. Step 4: Simplify right side
    328,846x = 243,358,702,596
  5. Step 5: Solve for x
    x = 243,358,702,596/328,846
  6. Step 6: Final answer
    x = 740,038.51

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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.