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Finding the Third Proportional to 326,914 and 705,435

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Solution

The third proportional to 326,914 and 705,435 is: 1,522,230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,914 : 705,435 = 705,435 : x
  2. Step 2: Convert to fraction form
    326,914/705,435 = 705,435/x
  3. Step 3: Cross multiply
    326,914x = 705,435 × 705,435
  4. Step 4: Simplify right side
    326,914x = 497,638,539,225
  5. Step 5: Solve for x
    x = 497,638,539,225/326,914
  6. Step 6: Final answer
    x = 1,522,230.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.