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Finding the Third Proportional to 306,208 and 435,497

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Solution

The third proportional to 306,208 and 435,497 is: 619,375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,208 : 435,497 = 435,497 : x
  2. Step 2: Convert to fraction form
    306,208/435,497 = 435,497/x
  3. Step 3: Cross multiply
    306,208x = 435,497 × 435,497
  4. Step 4: Simplify right side
    306,208x = 189,657,637,009
  5. Step 5: Solve for x
    x = 189,657,637,009/306,208
  6. Step 6: Final answer
    x = 619,375.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.