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Finding the Third Proportional to 262,150 and 573,361

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Solution

The third proportional to 262,150 and 573,361 is: 1,254,025.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,150 : 573,361 = 573,361 : x
  2. Step 2: Convert to fraction form
    262,150/573,361 = 573,361/x
  3. Step 3: Cross multiply
    262,150x = 573,361 × 573,361
  4. Step 4: Simplify right side
    262,150x = 328,742,836,321
  5. Step 5: Solve for x
    x = 328,742,836,321/262,150
  6. Step 6: Final answer
    x = 1,254,025.70

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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.