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Finding the Third Proportional to 262,444.50 and 385,285.50

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Solution

The third proportional to 262,444.50 and 385,285.50 is: 565,624.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,444.50 : 385,285.50 = 385,285.50 : x
  2. Step 2: Convert to fraction form
    262,444.50/385,285.50 = 385,285.50/x
  3. Step 3: Cross multiply
    262,444.50x = 385,285.50 × 385,285.50
  4. Step 4: Simplify right side
    262,444.50x = 148,444,916,510.25
  5. Step 5: Solve for x
    x = 148,444,916,510.25/262,444.50
  6. Step 6: Final answer
    x = 565,624.03

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.