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Finding the Third Proportional to 326,523 and 504,342

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Solution

The third proportional to 326,523 and 504,342 is: 778,998.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,523 : 504,342 = 504,342 : x
  2. Step 2: Convert to fraction form
    326,523/504,342 = 504,342/x
  3. Step 3: Cross multiply
    326,523x = 504,342 × 504,342
  4. Step 4: Simplify right side
    326,523x = 254,360,852,964
  5. Step 5: Solve for x
    x = 254,360,852,964/326,523
  6. Step 6: Final answer
    x = 778,998.27

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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.