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Finding the Third Proportional to 324,925 and 502,139

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Solution

The third proportional to 324,925 and 502,139 is: 776,005.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,925 : 502,139 = 502,139 : x
  2. Step 2: Convert to fraction form
    324,925/502,139 = 502,139/x
  3. Step 3: Cross multiply
    324,925x = 502,139 × 502,139
  4. Step 4: Simplify right side
    324,925x = 252,143,575,321
  5. Step 5: Solve for x
    x = 252,143,575,321/324,925
  6. Step 6: Final answer
    x = 776,005.46

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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.