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Finding the Third Proportional to 490,140 and 749,628

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Solution

The third proportional to 490,140 and 749,628 is: 1,146,493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,140 : 749,628 = 749,628 : x
  2. Step 2: Convert to fraction form
    490,140/749,628 = 749,628/x
  3. Step 3: Cross multiply
    490,140x = 749,628 × 749,628
  4. Step 4: Simplify right side
    490,140x = 561,942,138,384
  5. Step 5: Solve for x
    x = 561,942,138,384/490,140
  6. Step 6: Final answer
    x = 1,146,493.12

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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.