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Finding the Third Proportional to 316,271 and 502,561

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Solution

The third proportional to 316,271 and 502,561 is: 798,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,271 : 502,561 = 502,561 : x
  2. Step 2: Convert to fraction form
    316,271/502,561 = 502,561/x
  3. Step 3: Cross multiply
    316,271x = 502,561 × 502,561
  4. Step 4: Simplify right side
    316,271x = 252,567,558,721
  5. Step 5: Solve for x
    x = 252,567,558,721/316,271
  6. Step 6: Final answer
    x = 798,579.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.