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Finding the Third Proportional to 486,327 and 727,546.50

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Solution

The third proportional to 486,327 and 727,546.50 is: 1,088,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,327 : 727,546.50 = 727,546.50 : x
  2. Step 2: Convert to fraction form
    486,327/727,546.50 = 727,546.50/x
  3. Step 3: Cross multiply
    486,327x = 727,546.50 × 727,546.50
  4. Step 4: Simplify right side
    486,327x = 529,323,909,662.25
  5. Step 5: Solve for x
    x = 529,323,909,662.25/486,327
  6. Step 6: Final answer
    x = 1,088,411.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.