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Finding the Third Proportional to 356,575.50 and 523,950.19

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Solution

The third proportional to 356,575.50 and 523,950.19 is: 769,889.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,575.50 : 523,950.19 = 523,950.19 : x
  2. Step 2: Convert to fraction form
    356,575.50/523,950.19 = 523,950.19/x
  3. Step 3: Cross multiply
    356,575.50x = 523,950.19 × 523,950.19
  4. Step 4: Simplify right side
    356,575.50x = 274,523,798,981.29
  5. Step 5: Solve for x
    x = 274,523,798,981.29/356,575.50
  6. Step 6: Final answer
    x = 769,889.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.