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Finding the Third Proportional to 440,104 and 652,164

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Solution

The third proportional to 440,104 and 652,164 is: 966,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,104 : 652,164 = 652,164 : x
  2. Step 2: Convert to fraction form
    440,104/652,164 = 652,164/x
  3. Step 3: Cross multiply
    440,104x = 652,164 × 652,164
  4. Step 4: Simplify right side
    440,104x = 425,317,882,896
  5. Step 5: Solve for x
    x = 425,317,882,896/440,104
  6. Step 6: Final answer
    x = 966,403.13

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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.