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Finding the Third Proportional to 333,416 and 710,568

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Solution

The third proportional to 333,416 and 710,568 is: 1,514,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,416 : 710,568 = 710,568 : x
  2. Step 2: Convert to fraction form
    333,416/710,568 = 710,568/x
  3. Step 3: Cross multiply
    333,416x = 710,568 × 710,568
  4. Step 4: Simplify right side
    333,416x = 504,906,882,624
  5. Step 5: Solve for x
    x = 504,906,882,624/333,416
  6. Step 6: Final answer
    x = 1,514,345.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.