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Finding the Third Proportional to 467,907.50 and 698,743

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Solution

The third proportional to 467,907.50 and 698,743 is: 1,043,457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,907.50 : 698,743 = 698,743 : x
  2. Step 2: Convert to fraction form
    467,907.50/698,743 = 698,743/x
  3. Step 3: Cross multiply
    467,907.50x = 698,743 × 698,743
  4. Step 4: Simplify right side
    467,907.50x = 488,241,780,049
  5. Step 5: Solve for x
    x = 488,241,780,049/467,907.50
  6. Step 6: Final answer
    x = 1,043,457.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.