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Finding the Third Proportional to 461,895.75 and 735,527.25

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Solution

The third proportional to 461,895.75 and 735,527.25 is: 1,171,260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,895.75 : 735,527.25 = 735,527.25 : x
  2. Step 2: Convert to fraction form
    461,895.75/735,527.25 = 735,527.25/x
  3. Step 3: Cross multiply
    461,895.75x = 735,527.25 × 735,527.25
  4. Step 4: Simplify right side
    461,895.75x = 541,000,335,492.56
  5. Step 5: Solve for x
    x = 541,000,335,492.56/461,895.75
  6. Step 6: Final answer
    x = 1,171,260.69

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Why These Related Problems?

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