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Finding the Third Proportional to 324,926 and 502,140

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Solution

The third proportional to 324,926 and 502,140 is: 776,006.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,926 : 502,140 = 502,140 : x
  2. Step 2: Convert to fraction form
    324,926/502,140 = 502,140/x
  3. Step 3: Cross multiply
    324,926x = 502,140 × 502,140
  4. Step 4: Simplify right side
    324,926x = 252,144,579,600
  5. Step 5: Solve for x
    x = 252,144,579,600/324,926
  6. Step 6: Final answer
    x = 776,006.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.