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Finding the Third Proportional to 390,624 and 836,544

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Solution

The third proportional to 390,624 and 836,544 is: 1,791,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,624 : 836,544 = 836,544 : x
  2. Step 2: Convert to fraction form
    390,624/836,544 = 836,544/x
  3. Step 3: Cross multiply
    390,624x = 836,544 × 836,544
  4. Step 4: Simplify right side
    390,624x = 699,805,863,936
  5. Step 5: Solve for x
    x = 699,805,863,936/390,624
  6. Step 6: Final answer
    x = 1,791,507.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.