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Finding the Third Proportional to 239,158 and 507,475

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Solution

The third proportional to 239,158 and 507,475 is: 1,076,823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,158 : 507,475 = 507,475 : x
  2. Step 2: Convert to fraction form
    239,158/507,475 = 507,475/x
  3. Step 3: Cross multiply
    239,158x = 507,475 × 507,475
  4. Step 4: Simplify right side
    239,158x = 257,530,875,625
  5. Step 5: Solve for x
    x = 257,530,875,625/239,158
  6. Step 6: Final answer
    x = 1,076,823.17

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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.