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Finding the Third Proportional to 460,050.75 and 698,353.88

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Solution

The third proportional to 460,050.75 and 698,353.88 is: 1,060,096.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,050.75 : 698,353.88 = 698,353.88 : x
  2. Step 2: Convert to fraction form
    460,050.75/698,353.88 = 698,353.88/x
  3. Step 3: Cross multiply
    460,050.75x = 698,353.88 × 698,353.88
  4. Step 4: Simplify right side
    460,050.75x = 487,698,134,727.52
  5. Step 5: Solve for x
    x = 487,698,134,727.52/460,050.75
  6. Step 6: Final answer
    x = 1,060,096.38

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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.