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Finding the Third Proportional to 357,232.75 and 763,592.50

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Solution

The third proportional to 357,232.75 and 763,592.50 is: 1,632,194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,232.75 : 763,592.50 = 763,592.50 : x
  2. Step 2: Convert to fraction form
    357,232.75/763,592.50 = 763,592.50/x
  3. Step 3: Cross multiply
    357,232.75x = 763,592.50 × 763,592.50
  4. Step 4: Simplify right side
    357,232.75x = 583,073,506,056.25
  5. Step 5: Solve for x
    x = 583,073,506,056.25/357,232.75
  6. Step 6: Final answer
    x = 1,632,194.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.