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Finding the Third Proportional to 447,612.50 and 872,383

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Solution

The third proportional to 447,612.50 and 872,383 is: 1,700,247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,612.50 : 872,383 = 872,383 : x
  2. Step 2: Convert to fraction form
    447,612.50/872,383 = 872,383/x
  3. Step 3: Cross multiply
    447,612.50x = 872,383 × 872,383
  4. Step 4: Simplify right side
    447,612.50x = 761,052,098,689
  5. Step 5: Solve for x
    x = 761,052,098,689/447,612.50
  6. Step 6: Final answer
    x = 1,700,247.64

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.