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Finding the Third Proportional to 434,783.75 and 571,738.50

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Solution

The third proportional to 434,783.75 and 571,738.50 is: 751,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,783.75 : 571,738.50 = 571,738.50 : x
  2. Step 2: Convert to fraction form
    434,783.75/571,738.50 = 571,738.50/x
  3. Step 3: Cross multiply
    434,783.75x = 571,738.50 × 571,738.50
  4. Step 4: Simplify right side
    434,783.75x = 326,884,912,382.25
  5. Step 5: Solve for x
    x = 326,884,912,382.25/434,783.75
  6. Step 6: Final answer
    x = 751,833.32

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.