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Finding the Third Proportional to 310,904 and 456,150

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Solution

The third proportional to 310,904 and 456,150 is: 669,251.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,904 : 456,150 = 456,150 : x
  2. Step 2: Convert to fraction form
    310,904/456,150 = 456,150/x
  3. Step 3: Cross multiply
    310,904x = 456,150 × 456,150
  4. Step 4: Simplify right side
    310,904x = 208,072,822,500
  5. Step 5: Solve for x
    x = 208,072,822,500/310,904
  6. Step 6: Final answer
    x = 669,251.03

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