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Finding the Third Proportional to 499,484 and 765,894

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Solution

The third proportional to 499,484 and 765,894 is: 1,174,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,484 : 765,894 = 765,894 : x
  2. Step 2: Convert to fraction form
    499,484/765,894 = 765,894/x
  3. Step 3: Cross multiply
    499,484x = 765,894 × 765,894
  4. Step 4: Simplify right side
    499,484x = 586,593,619,236
  5. Step 5: Solve for x
    x = 586,593,619,236/499,484
  6. Step 6: Final answer
    x = 1,174,399.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.