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Finding the Third Proportional to 355,587 and 770,196

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Solution

The third proportional to 355,587 and 770,196 is: 1,668,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,587 : 770,196 = 770,196 : x
  2. Step 2: Convert to fraction form
    355,587/770,196 = 770,196/x
  3. Step 3: Cross multiply
    355,587x = 770,196 × 770,196
  4. Step 4: Simplify right side
    355,587x = 593,201,878,416
  5. Step 5: Solve for x
    x = 593,201,878,416/355,587
  6. Step 6: Final answer
    x = 1,668,232.75

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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.