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Finding the Third Proportional to 543,123 and 823,432.50

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Solution

The third proportional to 543,123 and 823,432.50 is: 1,248,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,123 : 823,432.50 = 823,432.50 : x
  2. Step 2: Convert to fraction form
    543,123/823,432.50 = 823,432.50/x
  3. Step 3: Cross multiply
    543,123x = 823,432.50 × 823,432.50
  4. Step 4: Simplify right side
    543,123x = 678,041,082,056.25
  5. Step 5: Solve for x
    x = 678,041,082,056.25/543,123
  6. Step 6: Final answer
    x = 1,248,411.65

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.