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Finding the Third Proportional to 355,396 and 750,696

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Solution

The third proportional to 355,396 and 750,696 is: 1,585,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,396 : 750,696 = 750,696 : x
  2. Step 2: Convert to fraction form
    355,396/750,696 = 750,696/x
  3. Step 3: Cross multiply
    355,396x = 750,696 × 750,696
  4. Step 4: Simplify right side
    355,396x = 563,544,484,416
  5. Step 5: Solve for x
    x = 563,544,484,416/355,396
  6. Step 6: Final answer
    x = 1,585,680.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.