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Finding the Third Proportional to 310,329 and 483,883.50

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Solution

The third proportional to 310,329 and 483,883.50 is: 754,500.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,329 : 483,883.50 = 483,883.50 : x
  2. Step 2: Convert to fraction form
    310,329/483,883.50 = 483,883.50/x
  3. Step 3: Cross multiply
    310,329x = 483,883.50 × 483,883.50
  4. Step 4: Simplify right side
    310,329x = 234,143,241,572.25
  5. Step 5: Solve for x
    x = 234,143,241,572.25/310,329
  6. Step 6: Final answer
    x = 754,500.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.