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Finding the Third Proportional to 460,066.50 and 698,376.75

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Solution

The third proportional to 460,066.50 and 698,376.75 is: 1,060,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,066.50 : 698,376.75 = 698,376.75 : x
  2. Step 2: Convert to fraction form
    460,066.50/698,376.75 = 698,376.75/x
  3. Step 3: Cross multiply
    460,066.50x = 698,376.75 × 698,376.75
  4. Step 4: Simplify right side
    460,066.50x = 487,730,084,940.56
  5. Step 5: Solve for x
    x = 487,730,084,940.56/460,066.50
  6. Step 6: Final answer
    x = 1,060,129.54

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Why These Related Problems?

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