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Finding the Third Proportional to 262,140 and 573,341

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Solution

The third proportional to 262,140 and 573,341 is: 1,253,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,140 : 573,341 = 573,341 : x
  2. Step 2: Convert to fraction form
    262,140/573,341 = 573,341/x
  3. Step 3: Cross multiply
    262,140x = 573,341 × 573,341
  4. Step 4: Simplify right side
    262,140x = 328,719,902,281
  5. Step 5: Solve for x
    x = 328,719,902,281/262,140
  6. Step 6: Final answer
    x = 1,253,986.05

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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.