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Finding the Third Proportional to 354,234.50 and 411,815.50

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Solution

The third proportional to 354,234.50 and 411,815.50 is: 478,756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,234.50 : 411,815.50 = 411,815.50 : x
  2. Step 2: Convert to fraction form
    354,234.50/411,815.50 = 411,815.50/x
  3. Step 3: Cross multiply
    354,234.50x = 411,815.50 × 411,815.50
  4. Step 4: Simplify right side
    354,234.50x = 169,592,006,040.25
  5. Step 5: Solve for x
    x = 169,592,006,040.25/354,234.50
  6. Step 6: Final answer
    x = 478,756.32

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.