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Finding the Third Proportional to 310,576 and 668,664

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Solution

The third proportional to 310,576 and 668,664 is: 1,439,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,576 : 668,664 = 668,664 : x
  2. Step 2: Convert to fraction form
    310,576/668,664 = 668,664/x
  3. Step 3: Cross multiply
    310,576x = 668,664 × 668,664
  4. Step 4: Simplify right side
    310,576x = 447,111,544,896
  5. Step 5: Solve for x
    x = 447,111,544,896/310,576
  6. Step 6: Final answer
    x = 1,439,620.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.