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Finding the Third Proportional to 239,175 and 507,504

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Solution

The third proportional to 239,175 and 507,504 is: 1,076,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,175 : 507,504 = 507,504 : x
  2. Step 2: Convert to fraction form
    239,175/507,504 = 507,504/x
  3. Step 3: Cross multiply
    239,175x = 507,504 × 507,504
  4. Step 4: Simplify right side
    239,175x = 257,560,310,016
  5. Step 5: Solve for x
    x = 257,560,310,016/239,175
  6. Step 6: Final answer
    x = 1,076,869.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.