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Finding the Third Proportional to 326,106 and 706,491

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Solution

The third proportional to 326,106 and 706,491 is: 1,530,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,106 : 706,491 = 706,491 : x
  2. Step 2: Convert to fraction form
    326,106/706,491 = 706,491/x
  3. Step 3: Cross multiply
    326,106x = 706,491 × 706,491
  4. Step 4: Simplify right side
    326,106x = 499,129,533,081
  5. Step 5: Solve for x
    x = 499,129,533,081/326,106
  6. Step 6: Final answer
    x = 1,530,574.52

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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.