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Finding the Third Proportional to 239,114 and 507,388

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Solution

The third proportional to 239,114 and 507,388 is: 1,076,652.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,114 : 507,388 = 507,388 : x
  2. Step 2: Convert to fraction form
    239,114/507,388 = 507,388/x
  3. Step 3: Cross multiply
    239,114x = 507,388 × 507,388
  4. Step 4: Simplify right side
    239,114x = 257,442,582,544
  5. Step 5: Solve for x
    x = 257,442,582,544/239,114
  6. Step 6: Final answer
    x = 1,076,652.07

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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.