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Finding the Third Proportional to 452,034 and 664,035

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Solution

The third proportional to 452,034 and 664,035 is: 975,463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,034 : 664,035 = 664,035 : x
  2. Step 2: Convert to fraction form
    452,034/664,035 = 664,035/x
  3. Step 3: Cross multiply
    452,034x = 664,035 × 664,035
  4. Step 4: Simplify right side
    452,034x = 440,942,481,225
  5. Step 5: Solve for x
    x = 440,942,481,225/452,034
  6. Step 6: Final answer
    x = 975,463.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.