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Finding the Third Proportional to 297,864 and 440,964

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Solution

The third proportional to 297,864 and 440,964 is: 652,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,864 : 440,964 = 440,964 : x
  2. Step 2: Convert to fraction form
    297,864/440,964 = 440,964/x
  3. Step 3: Cross multiply
    297,864x = 440,964 × 440,964
  4. Step 4: Simplify right side
    297,864x = 194,449,249,296
  5. Step 5: Solve for x
    x = 194,449,249,296/297,864
  6. Step 6: Final answer
    x = 652,812.19

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Why These Related Problems?

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