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Finding the Third Proportional to 305,253 and 448,753.50

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Solution

The third proportional to 305,253 and 448,753.50 is: 659,714.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,253 : 448,753.50 = 448,753.50 : x
  2. Step 2: Convert to fraction form
    305,253/448,753.50 = 448,753.50/x
  3. Step 3: Cross multiply
    305,253x = 448,753.50 × 448,753.50
  4. Step 4: Simplify right side
    305,253x = 201,379,703,762.25
  5. Step 5: Solve for x
    x = 201,379,703,762.25/305,253
  6. Step 6: Final answer
    x = 659,714.09

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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.