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Finding the Third Proportional to 310,550 and 470,485

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Solution

The third proportional to 310,550 and 470,485 is: 712,787.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,550 : 470,485 = 470,485 : x
  2. Step 2: Convert to fraction form
    310,550/470,485 = 470,485/x
  3. Step 3: Cross multiply
    310,550x = 470,485 × 470,485
  4. Step 4: Simplify right side
    310,550x = 221,356,135,225
  5. Step 5: Solve for x
    x = 221,356,135,225/310,550
  6. Step 6: Final answer
    x = 712,787.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.