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Finding the Third Proportional to 310,900.50 and 664,461

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Solution

The third proportional to 310,900.50 and 664,461 is: 1,420,095.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,900.50 : 664,461 = 664,461 : x
  2. Step 2: Convert to fraction form
    310,900.50/664,461 = 664,461/x
  3. Step 3: Cross multiply
    310,900.50x = 664,461 × 664,461
  4. Step 4: Simplify right side
    310,900.50x = 441,508,420,521
  5. Step 5: Solve for x
    x = 441,508,420,521/310,900.50
  6. Step 6: Final answer
    x = 1,420,095.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.