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Finding the Third Proportional to 289,913 and 461,221.50

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Solution

The third proportional to 289,913 and 461,221.50 is: 733,755.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,913 : 461,221.50 = 461,221.50 : x
  2. Step 2: Convert to fraction form
    289,913/461,221.50 = 461,221.50/x
  3. Step 3: Cross multiply
    289,913x = 461,221.50 × 461,221.50
  4. Step 4: Simplify right side
    289,913x = 212,725,272,062.25
  5. Step 5: Solve for x
    x = 212,725,272,062.25/289,913
  6. Step 6: Final answer
    x = 733,755.55

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.