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Finding the Third Proportional to 323,124 and 710,416

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Solution

The third proportional to 323,124 and 710,416 is: 1,561,910.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,124 : 710,416 = 710,416 : x
  2. Step 2: Convert to fraction form
    323,124/710,416 = 710,416/x
  3. Step 3: Cross multiply
    323,124x = 710,416 × 710,416
  4. Step 4: Simplify right side
    323,124x = 504,690,893,056
  5. Step 5: Solve for x
    x = 504,690,893,056/323,124
  6. Step 6: Final answer
    x = 1,561,910.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.