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Finding the Third Proportional to 326,006.50 and 706,276

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Solution

The third proportional to 326,006.50 and 706,276 is: 1,530,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,006.50 : 706,276 = 706,276 : x
  2. Step 2: Convert to fraction form
    326,006.50/706,276 = 706,276/x
  3. Step 3: Cross multiply
    326,006.50x = 706,276 × 706,276
  4. Step 4: Simplify right side
    326,006.50x = 498,825,788,176
  5. Step 5: Solve for x
    x = 498,825,788,176/326,006.50
  6. Step 6: Final answer
    x = 1,530,109.95

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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.