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Finding the Third Proportional to 310,451.50 and 468,107.50

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Solution

The third proportional to 310,451.50 and 468,107.50 is: 705,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,451.50 : 468,107.50 = 468,107.50 : x
  2. Step 2: Convert to fraction form
    310,451.50/468,107.50 = 468,107.50/x
  3. Step 3: Cross multiply
    310,451.50x = 468,107.50 × 468,107.50
  4. Step 4: Simplify right side
    310,451.50x = 219,124,631,556.25
  5. Step 5: Solve for x
    x = 219,124,631,556.25/310,451.50
  6. Step 6: Final answer
    x = 705,825.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.