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Finding the Third Proportional to 332,596 and 709,416

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Solution

The third proportional to 332,596 and 709,416 is: 1,513,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,596 : 709,416 = 709,416 : x
  2. Step 2: Convert to fraction form
    332,596/709,416 = 709,416/x
  3. Step 3: Cross multiply
    332,596x = 709,416 × 709,416
  4. Step 4: Simplify right side
    332,596x = 503,271,061,056
  5. Step 5: Solve for x
    x = 503,271,061,056/332,596
  6. Step 6: Final answer
    x = 1,513,160.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.