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Finding the Third Proportional to 300,031 and 708,251

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Solution

The third proportional to 300,031 and 708,251 is: 1,671,892.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,031 : 708,251 = 708,251 : x
  2. Step 2: Convert to fraction form
    300,031/708,251 = 708,251/x
  3. Step 3: Cross multiply
    300,031x = 708,251 × 708,251
  4. Step 4: Simplify right side
    300,031x = 501,619,479,001
  5. Step 5: Solve for x
    x = 501,619,479,001/300,031
  6. Step 6: Final answer
    x = 1,671,892.17

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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.