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Finding the Third Proportional to 362,341.50 and 492,050.25

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Solution

The third proportional to 362,341.50 and 492,050.25 is: 668,191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,341.50 : 492,050.25 = 492,050.25 : x
  2. Step 2: Convert to fraction form
    362,341.50/492,050.25 = 492,050.25/x
  3. Step 3: Cross multiply
    362,341.50x = 492,050.25 × 492,050.25
  4. Step 4: Simplify right side
    362,341.50x = 242,113,448,525.06
  5. Step 5: Solve for x
    x = 242,113,448,525.06/362,341.50
  6. Step 6: Final answer
    x = 668,191.33

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.