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Finding the Third Proportional to 310,902 and 456,147

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Solution

The third proportional to 310,902 and 456,147 is: 669,246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,902 : 456,147 = 456,147 : x
  2. Step 2: Convert to fraction form
    310,902/456,147 = 456,147/x
  3. Step 3: Cross multiply
    310,902x = 456,147 × 456,147
  4. Step 4: Simplify right side
    310,902x = 208,070,085,609
  5. Step 5: Solve for x
    x = 208,070,085,609/310,902
  6. Step 6: Final answer
    x = 669,246.53

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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.