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Finding the Third Proportional to 512,402 and 729,925.50

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Solution

The third proportional to 512,402 and 729,925.50 is: 1,039,791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,402 : 729,925.50 = 729,925.50 : x
  2. Step 2: Convert to fraction form
    512,402/729,925.50 = 729,925.50/x
  3. Step 3: Cross multiply
    512,402x = 729,925.50 × 729,925.50
  4. Step 4: Simplify right side
    512,402x = 532,791,235,550.25
  5. Step 5: Solve for x
    x = 532,791,235,550.25/512,402
  6. Step 6: Final answer
    x = 1,039,791.48

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.