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Finding the Third Proportional to 306,496.50 and 478,374.75

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Solution

The third proportional to 306,496.50 and 478,374.75 is: 746,639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,496.50 : 478,374.75 = 478,374.75 : x
  2. Step 2: Convert to fraction form
    306,496.50/478,374.75 = 478,374.75/x
  3. Step 3: Cross multiply
    306,496.50x = 478,374.75 × 478,374.75
  4. Step 4: Simplify right side
    306,496.50x = 228,842,401,437.56
  5. Step 5: Solve for x
    x = 228,842,401,437.56/306,496.50
  6. Step 6: Final answer
    x = 746,639.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.