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Finding the Third Proportional to 326,192 and 501,528

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Solution

The third proportional to 326,192 and 501,528 is: 771,111.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,192 : 501,528 = 501,528 : x
  2. Step 2: Convert to fraction form
    326,192/501,528 = 501,528/x
  3. Step 3: Cross multiply
    326,192x = 501,528 × 501,528
  4. Step 4: Simplify right side
    326,192x = 251,530,334,784
  5. Step 5: Solve for x
    x = 251,530,334,784/326,192
  6. Step 6: Final answer
    x = 771,111.29

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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.