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Finding the Third Proportional to 303,658.50 and 432,567

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Solution

The third proportional to 303,658.50 and 432,567 is: 616,199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,658.50 : 432,567 = 432,567 : x
  2. Step 2: Convert to fraction form
    303,658.50/432,567 = 432,567/x
  3. Step 3: Cross multiply
    303,658.50x = 432,567 × 432,567
  4. Step 4: Simplify right side
    303,658.50x = 187,114,209,489
  5. Step 5: Solve for x
    x = 187,114,209,489/303,658.50
  6. Step 6: Final answer
    x = 616,199.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.