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Finding the Third Proportional to 318,957 and 433,363.50

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Solution

The third proportional to 318,957 and 433,363.50 is: 588,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,957 : 433,363.50 = 433,363.50 : x
  2. Step 2: Convert to fraction form
    318,957/433,363.50 = 433,363.50/x
  3. Step 3: Cross multiply
    318,957x = 433,363.50 × 433,363.50
  4. Step 4: Simplify right side
    318,957x = 187,803,923,132.25
  5. Step 5: Solve for x
    x = 187,803,923,132.25/318,957
  6. Step 6: Final answer
    x = 588,806.40

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.