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Finding the Third Proportional to 328,423.50 and 707,492

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Solution

The third proportional to 328,423.50 and 707,492 is: 1,524,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,423.50 : 707,492 = 707,492 : x
  2. Step 2: Convert to fraction form
    328,423.50/707,492 = 707,492/x
  3. Step 3: Cross multiply
    328,423.50x = 707,492 × 707,492
  4. Step 4: Simplify right side
    328,423.50x = 500,544,930,064
  5. Step 5: Solve for x
    x = 500,544,930,064/328,423.50
  6. Step 6: Final answer
    x = 1,524,083.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.