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Finding the Third Proportional to 252,964 and 338,502

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Solution

The third proportional to 252,964 and 338,502 is: 452,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,964 : 338,502 = 338,502 : x
  2. Step 2: Convert to fraction form
    252,964/338,502 = 338,502/x
  3. Step 3: Cross multiply
    252,964x = 338,502 × 338,502
  4. Step 4: Simplify right side
    252,964x = 114,583,604,004
  5. Step 5: Solve for x
    x = 114,583,604,004/252,964
  6. Step 6: Final answer
    x = 452,964.07

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.