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Finding the Third Proportional to 483,716 and 727,430

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Solution

The third proportional to 483,716 and 727,430 is: 1,093,936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,716 : 727,430 = 727,430 : x
  2. Step 2: Convert to fraction form
    483,716/727,430 = 727,430/x
  3. Step 3: Cross multiply
    483,716x = 727,430 × 727,430
  4. Step 4: Simplify right side
    483,716x = 529,154,404,900
  5. Step 5: Solve for x
    x = 529,154,404,900/483,716
  6. Step 6: Final answer
    x = 1,093,936.12

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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.