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Finding the Third Proportional to 294,866 and 403,500

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Solution

The third proportional to 294,866 and 403,500 is: 552,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,866 : 403,500 = 403,500 : x
  2. Step 2: Convert to fraction form
    294,866/403,500 = 403,500/x
  3. Step 3: Cross multiply
    294,866x = 403,500 × 403,500
  4. Step 4: Simplify right side
    294,866x = 162,812,250,000
  5. Step 5: Solve for x
    x = 162,812,250,000/294,866
  6. Step 6: Final answer
    x = 552,156.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.