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Finding the Third Proportional to 507,171 and 784,899

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Solution

The third proportional to 507,171 and 784,899 is: 1,214,711.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,171 : 784,899 = 784,899 : x
  2. Step 2: Convert to fraction form
    507,171/784,899 = 784,899/x
  3. Step 3: Cross multiply
    507,171x = 784,899 × 784,899
  4. Step 4: Simplify right side
    507,171x = 616,066,440,201
  5. Step 5: Solve for x
    x = 616,066,440,201/507,171
  6. Step 6: Final answer
    x = 1,214,711.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.