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Finding the Third Proportional to 579,424 and 930,696

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Solution

The third proportional to 579,424 and 930,696 is: 1,494,924.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,424 : 930,696 = 930,696 : x
  2. Step 2: Convert to fraction form
    579,424/930,696 = 930,696/x
  3. Step 3: Cross multiply
    579,424x = 930,696 × 930,696
  4. Step 4: Simplify right side
    579,424x = 866,195,044,416
  5. Step 5: Solve for x
    x = 866,195,044,416/579,424
  6. Step 6: Final answer
    x = 1,494,924.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.