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Finding the Third Proportional to 310,234.50 and 453,036

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Solution

The third proportional to 310,234.50 and 453,036 is: 661,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,234.50 : 453,036 = 453,036 : x
  2. Step 2: Convert to fraction form
    310,234.50/453,036 = 453,036/x
  3. Step 3: Cross multiply
    310,234.50x = 453,036 × 453,036
  4. Step 4: Simplify right side
    310,234.50x = 205,241,617,296
  5. Step 5: Solve for x
    x = 205,241,617,296/310,234.50
  6. Step 6: Final answer
    x = 661,569.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.