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Finding the Third Proportional to 265,199 and 572,761

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Solution

The third proportional to 265,199 and 572,761 is: 1,237,015.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,199 : 572,761 = 572,761 : x
  2. Step 2: Convert to fraction form
    265,199/572,761 = 572,761/x
  3. Step 3: Cross multiply
    265,199x = 572,761 × 572,761
  4. Step 4: Simplify right side
    265,199x = 328,055,163,121
  5. Step 5: Solve for x
    x = 328,055,163,121/265,199
  6. Step 6: Final answer
    x = 1,237,015.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.