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Finding the Third Proportional to 253,563.75 and 362,572.50

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Solution

The third proportional to 253,563.75 and 362,572.50 is: 518,444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,563.75 : 362,572.50 = 362,572.50 : x
  2. Step 2: Convert to fraction form
    253,563.75/362,572.50 = 362,572.50/x
  3. Step 3: Cross multiply
    253,563.75x = 362,572.50 × 362,572.50
  4. Step 4: Simplify right side
    253,563.75x = 131,458,817,756.25
  5. Step 5: Solve for x
    x = 131,458,817,756.25/253,563.75
  6. Step 6: Final answer
    x = 518,444.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.