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Finding the Third Proportional to 310,880 and 456,114

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Solution

The third proportional to 310,880 and 456,114 is: 669,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,880 : 456,114 = 456,114 : x
  2. Step 2: Convert to fraction form
    310,880/456,114 = 456,114/x
  3. Step 3: Cross multiply
    310,880x = 456,114 × 456,114
  4. Step 4: Simplify right side
    310,880x = 208,039,980,996
  5. Step 5: Solve for x
    x = 208,039,980,996/310,880
  6. Step 6: Final answer
    x = 669,197.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.