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Finding the Third Proportional to 489,852 and 749,322

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Solution

The third proportional to 489,852 and 749,322 is: 1,146,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,852 : 749,322 = 749,322 : x
  2. Step 2: Convert to fraction form
    489,852/749,322 = 749,322/x
  3. Step 3: Cross multiply
    489,852x = 749,322 × 749,322
  4. Step 4: Simplify right side
    489,852x = 561,483,459,684
  5. Step 5: Solve for x
    x = 561,483,459,684/489,852
  6. Step 6: Final answer
    x = 1,146,230.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.