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Finding the Third Proportional to 239,946 and 514,803

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Solution

The third proportional to 239,946 and 514,803 is: 1,104,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,946 : 514,803 = 514,803 : x
  2. Step 2: Convert to fraction form
    239,946/514,803 = 514,803/x
  3. Step 3: Cross multiply
    239,946x = 514,803 × 514,803
  4. Step 4: Simplify right side
    239,946x = 265,022,128,809
  5. Step 5: Solve for x
    x = 265,022,128,809/239,946
  6. Step 6: Final answer
    x = 1,104,507.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.