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Finding the Third Proportional to 295,234.50 and 458,403.75

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Solution

The third proportional to 295,234.50 and 458,403.75 is: 711,752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,234.50 : 458,403.75 = 458,403.75 : x
  2. Step 2: Convert to fraction form
    295,234.50/458,403.75 = 458,403.75/x
  3. Step 3: Cross multiply
    295,234.50x = 458,403.75 × 458,403.75
  4. Step 4: Simplify right side
    295,234.50x = 210,133,998,014.06
  5. Step 5: Solve for x
    x = 210,133,998,014.06/295,234.50
  6. Step 6: Final answer
    x = 711,752.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.