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Finding the Third Proportional to 232,416 and 490,944

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Solution

The third proportional to 232,416 and 490,944 is: 1,037,045.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,416 : 490,944 = 490,944 : x
  2. Step 2: Convert to fraction form
    232,416/490,944 = 490,944/x
  3. Step 3: Cross multiply
    232,416x = 490,944 × 490,944
  4. Step 4: Simplify right side
    232,416x = 241,026,011,136
  5. Step 5: Solve for x
    x = 241,026,011,136/232,416
  6. Step 6: Final answer
    x = 1,037,045.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.