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Finding the Third Proportional to 326,472 and 504,468

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Solution

The third proportional to 326,472 and 504,468 is: 779,509.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,472 : 504,468 = 504,468 : x
  2. Step 2: Convert to fraction form
    326,472/504,468 = 504,468/x
  3. Step 3: Cross multiply
    326,472x = 504,468 × 504,468
  4. Step 4: Simplify right side
    326,472x = 254,487,963,024
  5. Step 5: Solve for x
    x = 254,487,963,024/326,472
  6. Step 6: Final answer
    x = 779,509.31

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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.