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Finding the Third Proportional to 262,153 and 573,367

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Solution

The third proportional to 262,153 and 573,367 is: 1,254,037.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,153 : 573,367 = 573,367 : x
  2. Step 2: Convert to fraction form
    262,153/573,367 = 573,367/x
  3. Step 3: Cross multiply
    262,153x = 573,367 × 573,367
  4. Step 4: Simplify right side
    262,153x = 328,749,716,689
  5. Step 5: Solve for x
    x = 328,749,716,689/262,153
  6. Step 6: Final answer
    x = 1,254,037.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.