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Finding the Third Proportional to 329,052 and 497,628

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Solution

The third proportional to 329,052 and 497,628 is: 752,566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,052 : 497,628 = 497,628 : x
  2. Step 2: Convert to fraction form
    329,052/497,628 = 497,628/x
  3. Step 3: Cross multiply
    329,052x = 497,628 × 497,628
  4. Step 4: Simplify right side
    329,052x = 247,633,626,384
  5. Step 5: Solve for x
    x = 247,633,626,384/329,052
  6. Step 6: Final answer
    x = 752,566.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.