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Finding the Third Proportional to 326,011.50 and 706,284

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Solution

The third proportional to 326,011.50 and 706,284 is: 1,530,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,011.50 : 706,284 = 706,284 : x
  2. Step 2: Convert to fraction form
    326,011.50/706,284 = 706,284/x
  3. Step 3: Cross multiply
    326,011.50x = 706,284 × 706,284
  4. Step 4: Simplify right side
    326,011.50x = 498,837,088,656
  5. Step 5: Solve for x
    x = 498,837,088,656/326,011.50
  6. Step 6: Final answer
    x = 1,530,121.14

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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.