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Finding the Third Proportional to 499,603 and 736,174.50

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Solution

The third proportional to 499,603 and 736,174.50 is: 1,084,767.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,603 : 736,174.50 = 736,174.50 : x
  2. Step 2: Convert to fraction form
    499,603/736,174.50 = 736,174.50/x
  3. Step 3: Cross multiply
    499,603x = 736,174.50 × 736,174.50
  4. Step 4: Simplify right side
    499,603x = 541,952,894,450.25
  5. Step 5: Solve for x
    x = 541,952,894,450.25/499,603
  6. Step 6: Final answer
    x = 1,084,767.09

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.