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Finding the Third Proportional to 238,029 and 495,786

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Solution

The third proportional to 238,029 and 495,786 is: 1,032,663.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,029 : 495,786 = 495,786 : x
  2. Step 2: Convert to fraction form
    238,029/495,786 = 495,786/x
  3. Step 3: Cross multiply
    238,029x = 495,786 × 495,786
  4. Step 4: Simplify right side
    238,029x = 245,803,757,796
  5. Step 5: Solve for x
    x = 245,803,757,796/238,029
  6. Step 6: Final answer
    x = 1,032,663.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.