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Finding the Third Proportional to 426,537 and 649,021.50

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Solution

The third proportional to 426,537 and 649,021.50 is: 987,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,537 : 649,021.50 = 649,021.50 : x
  2. Step 2: Convert to fraction form
    426,537/649,021.50 = 649,021.50/x
  3. Step 3: Cross multiply
    426,537x = 649,021.50 × 649,021.50
  4. Step 4: Simplify right side
    426,537x = 421,228,907,462.25
  5. Step 5: Solve for x
    x = 421,228,907,462.25/426,537
  6. Step 6: Final answer
    x = 987,555.38

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.