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Finding the Third Proportional to 296,668.50 and 439,455

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Solution

The third proportional to 296,668.50 and 439,455 is: 650,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,668.50 : 439,455 = 439,455 : x
  2. Step 2: Convert to fraction form
    296,668.50/439,455 = 439,455/x
  3. Step 3: Cross multiply
    296,668.50x = 439,455 × 439,455
  4. Step 4: Simplify right side
    296,668.50x = 193,120,697,025
  5. Step 5: Solve for x
    x = 193,120,697,025/296,668.50
  6. Step 6: Final answer
    x = 650,964.62

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.