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Finding the Third Proportional to 316,433 and 475,993.50

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Solution

The third proportional to 316,433 and 475,993.50 is: 716,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,433 : 475,993.50 = 475,993.50 : x
  2. Step 2: Convert to fraction form
    316,433/475,993.50 = 475,993.50/x
  3. Step 3: Cross multiply
    316,433x = 475,993.50 × 475,993.50
  4. Step 4: Simplify right side
    316,433x = 226,569,812,042.25
  5. Step 5: Solve for x
    x = 226,569,812,042.25/316,433
  6. Step 6: Final answer
    x = 716,011.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.