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Finding the Third Proportional to 326,913.94 and 705,435.19

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Solution

The third proportional to 326,913.94 and 705,435.19 is: 1,522,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,913.94 : 705,435.19 = 705,435.19 : x
  2. Step 2: Convert to fraction form
    326,913.94/705,435.19 = 705,435.19/x
  3. Step 3: Cross multiply
    326,913.94x = 705,435.19 × 705,435.19
  4. Step 4: Simplify right side
    326,913.94x = 497,638,803,763.16
  5. Step 5: Solve for x
    x = 497,638,803,763.16/326,913.94
  6. Step 6: Final answer
    x = 1,522,231.84

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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.