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Finding the Third Proportional to 472,950 and 714,334.50

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Solution

The third proportional to 472,950 and 714,334.50 is: 1,078,916.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,950 : 714,334.50 = 714,334.50 : x
  2. Step 2: Convert to fraction form
    472,950/714,334.50 = 714,334.50/x
  3. Step 3: Cross multiply
    472,950x = 714,334.50 × 714,334.50
  4. Step 4: Simplify right side
    472,950x = 510,273,777,890.25
  5. Step 5: Solve for x
    x = 510,273,777,890.25/472,950
  6. Step 6: Final answer
    x = 1,078,916.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.