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Finding the Third Proportional to 326,060 and 501,240

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Solution

The third proportional to 326,060 and 501,240 is: 770,537.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,060 : 501,240 = 501,240 : x
  2. Step 2: Convert to fraction form
    326,060/501,240 = 501,240/x
  3. Step 3: Cross multiply
    326,060x = 501,240 × 501,240
  4. Step 4: Simplify right side
    326,060x = 251,241,537,600
  5. Step 5: Solve for x
    x = 251,241,537,600/326,060
  6. Step 6: Final answer
    x = 770,537.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.