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Finding the Third Proportional to 326,010 and 706,282

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Solution

The third proportional to 326,010 and 706,282 is: 1,530,119.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,010 : 706,282 = 706,282 : x
  2. Step 2: Convert to fraction form
    326,010/706,282 = 706,282/x
  3. Step 3: Cross multiply
    326,010x = 706,282 × 706,282
  4. Step 4: Simplify right side
    326,010x = 498,834,263,524
  5. Step 5: Solve for x
    x = 498,834,263,524/326,010
  6. Step 6: Final answer
    x = 1,530,119.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.