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Finding the Third Proportional to 467,907 and 698,740.50

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Solution

The third proportional to 467,907 and 698,740.50 is: 1,043,451.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,907 : 698,740.50 = 698,740.50 : x
  2. Step 2: Convert to fraction form
    467,907/698,740.50 = 698,740.50/x
  3. Step 3: Cross multiply
    467,907x = 698,740.50 × 698,740.50
  4. Step 4: Simplify right side
    467,907x = 488,238,286,340.25
  5. Step 5: Solve for x
    x = 488,238,286,340.25/467,907
  6. Step 6: Final answer
    x = 1,043,451.55

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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.