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Finding the Third Proportional to 316,266 and 502,553.25

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Solution

The third proportional to 316,266 and 502,553.25 is: 798,567.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,266 : 502,553.25 = 502,553.25 : x
  2. Step 2: Convert to fraction form
    316,266/502,553.25 = 502,553.25/x
  3. Step 3: Cross multiply
    316,266x = 502,553.25 × 502,553.25
  4. Step 4: Simplify right side
    316,266x = 252,559,769,085.56
  5. Step 5: Solve for x
    x = 252,559,769,085.56/316,266
  6. Step 6: Final answer
    x = 798,567.56

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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.