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Finding the Third Proportional to 235,031 and 554,718

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Solution

The third proportional to 235,031 and 554,718 is: 1,309,240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,031 : 554,718 = 554,718 : x
  2. Step 2: Convert to fraction form
    235,031/554,718 = 554,718/x
  3. Step 3: Cross multiply
    235,031x = 554,718 × 554,718
  4. Step 4: Simplify right side
    235,031x = 307,712,059,524
  5. Step 5: Solve for x
    x = 307,712,059,524/235,031
  6. Step 6: Final answer
    x = 1,309,240.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.