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Finding the Third Proportional to 250,719 and 370,543.50

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Solution

The third proportional to 250,719 and 370,543.50 is: 547,634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,719 : 370,543.50 = 370,543.50 : x
  2. Step 2: Convert to fraction form
    250,719/370,543.50 = 370,543.50/x
  3. Step 3: Cross multiply
    250,719x = 370,543.50 × 370,543.50
  4. Step 4: Simplify right side
    250,719x = 137,302,485,392.25
  5. Step 5: Solve for x
    x = 137,302,485,392.25/250,719
  6. Step 6: Final answer
    x = 547,634.94

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.