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Finding the Third Proportional to 239,190 and 507,534

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Solution

The third proportional to 239,190 and 507,534 is: 1,076,929.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,190 : 507,534 = 507,534 : x
  2. Step 2: Convert to fraction form
    239,190/507,534 = 507,534/x
  3. Step 3: Cross multiply
    239,190x = 507,534 × 507,534
  4. Step 4: Simplify right side
    239,190x = 257,590,761,156
  5. Step 5: Solve for x
    x = 257,590,761,156/239,190
  6. Step 6: Final answer
    x = 1,076,929.48

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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.