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Finding the Third Proportional to 483,712 and 727,424

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Solution

The third proportional to 483,712 and 727,424 is: 1,093,927.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,712 : 727,424 = 727,424 : x
  2. Step 2: Convert to fraction form
    483,712/727,424 = 727,424/x
  3. Step 3: Cross multiply
    483,712x = 727,424 × 727,424
  4. Step 4: Simplify right side
    483,712x = 529,145,675,776
  5. Step 5: Solve for x
    x = 529,145,675,776/483,712
  6. Step 6: Final answer
    x = 1,093,927.12

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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.