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Finding the Third Proportional to 296,182 and 470,514

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Solution

The third proportional to 296,182 and 470,514 is: 747,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,182 : 470,514 = 470,514 : x
  2. Step 2: Convert to fraction form
    296,182/470,514 = 470,514/x
  3. Step 3: Cross multiply
    296,182x = 470,514 × 470,514
  4. Step 4: Simplify right side
    296,182x = 221,383,424,196
  5. Step 5: Solve for x
    x = 221,383,424,196/296,182
  6. Step 6: Final answer
    x = 747,457.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.