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Finding the Third Proportional to 306,751 and 473,806

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Solution

The third proportional to 306,751 and 473,806 is: 731,838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,751 : 473,806 = 473,806 : x
  2. Step 2: Convert to fraction form
    306,751/473,806 = 473,806/x
  3. Step 3: Cross multiply
    306,751x = 473,806 × 473,806
  4. Step 4: Simplify right side
    306,751x = 224,492,125,636
  5. Step 5: Solve for x
    x = 224,492,125,636/306,751
  6. Step 6: Final answer
    x = 731,838.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.