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Finding the Third Proportional to 328,118.50 and 514,047

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Solution

The third proportional to 328,118.50 and 514,047 is: 805,331.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,118.50 : 514,047 = 514,047 : x
  2. Step 2: Convert to fraction form
    328,118.50/514,047 = 514,047/x
  3. Step 3: Cross multiply
    328,118.50x = 514,047 × 514,047
  4. Step 4: Simplify right side
    328,118.50x = 264,244,318,209
  5. Step 5: Solve for x
    x = 264,244,318,209/328,118.50
  6. Step 6: Final answer
    x = 805,331.97

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.