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Finding the Third Proportional to 347,857 and 507,022

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Solution

The third proportional to 347,857 and 507,022 is: 739,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,857 : 507,022 = 507,022 : x
  2. Step 2: Convert to fraction form
    347,857/507,022 = 507,022/x
  3. Step 3: Cross multiply
    347,857x = 507,022 × 507,022
  4. Step 4: Simplify right side
    347,857x = 257,071,308,484
  5. Step 5: Solve for x
    x = 257,071,308,484/347,857
  6. Step 6: Final answer
    x = 739,014.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.