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Finding the Third Proportional to 355,216 and 755,648

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Solution

The third proportional to 355,216 and 755,648 is: 1,607,483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,216 : 755,648 = 755,648 : x
  2. Step 2: Convert to fraction form
    355,216/755,648 = 755,648/x
  3. Step 3: Cross multiply
    355,216x = 755,648 × 755,648
  4. Step 4: Simplify right side
    355,216x = 571,003,899,904
  5. Step 5: Solve for x
    x = 571,003,899,904/355,216
  6. Step 6: Final answer
    x = 1,607,483.62

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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.