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Finding the Third Proportional to 310,851 and 464,763

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Solution

The third proportional to 310,851 and 464,763 is: 694,881.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,851 : 464,763 = 464,763 : x
  2. Step 2: Convert to fraction form
    310,851/464,763 = 464,763/x
  3. Step 3: Cross multiply
    310,851x = 464,763 × 464,763
  4. Step 4: Simplify right side
    310,851x = 216,004,646,169
  5. Step 5: Solve for x
    x = 216,004,646,169/310,851
  6. Step 6: Final answer
    x = 694,881.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.