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Finding the Third Proportional to 361,584 and 786,591

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Solution

The third proportional to 361,584 and 786,591 is: 1,711,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,584 : 786,591 = 786,591 : x
  2. Step 2: Convert to fraction form
    361,584/786,591 = 786,591/x
  3. Step 3: Cross multiply
    361,584x = 786,591 × 786,591
  4. Step 4: Simplify right side
    361,584x = 618,725,401,281
  5. Step 5: Solve for x
    x = 618,725,401,281/361,584
  6. Step 6: Final answer
    x = 1,711,152.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.