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Finding the Third Proportional to 239,184 and 507,524

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Solution

The third proportional to 239,184 and 507,524 is: 1,076,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,184 : 507,524 = 507,524 : x
  2. Step 2: Convert to fraction form
    239,184/507,524 = 507,524/x
  3. Step 3: Cross multiply
    239,184x = 507,524 × 507,524
  4. Step 4: Simplify right side
    239,184x = 257,580,610,576
  5. Step 5: Solve for x
    x = 257,580,610,576/239,184
  6. Step 6: Final answer
    x = 1,076,914.05

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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.