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Finding the Third Proportional to 344,082 and 475,459.50

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Solution

The third proportional to 344,082 and 475,459.50 is: 656,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,082 : 475,459.50 = 475,459.50 : x
  2. Step 2: Convert to fraction form
    344,082/475,459.50 = 475,459.50/x
  3. Step 3: Cross multiply
    344,082x = 475,459.50 × 475,459.50
  4. Step 4: Simplify right side
    344,082x = 226,061,736,140.25
  5. Step 5: Solve for x
    x = 226,061,736,140.25/344,082
  6. Step 6: Final answer
    x = 656,999.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.